Filters
Question type

Study Flashcards

Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x) =28x2f ( x ) = \frac { 28 } { x ^ { 2 } }


A) Neither
B) Even
C) Odd

Correct Answer

verifed

verified

Perform the requested operation or operations. - f(x) =f(x) =1x4;g(x) =xf ( x ) = f ( x ) = \frac { 1 } { x - 4 } ; g ( x ) = \sqrt { x } Find g(f(x) ) g ( f ( x ) ) .


A) g(f(x) ) =xx4g ( f ( x ) ) = \frac { \sqrt { x } } { x - 4 }
B) g(f(x) ) =(x4) xg ( f ( x ) ) = ( x - 4 ) \sqrt { x }
C) g(f(x) ) =1x4g ( f ( x ) ) = \sqrt { \frac { 1 } { x - 4 } }
D) g(f(x) ) =1x4g ( f ( x ) ) = \frac { 1 } { \sqrt { x } - 4 }

Correct Answer

verifed

verified

Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g(x) ={x24, if x<11, if 1x1x2+4, if x>1g ( x ) = \left\{ \begin{array} { l } x ^ { 2 } - 4 , \text { if } x < - 1 \\1 , \text { if } - 1 \leq x \leq 1 \\x ^ { 2 } + 4 , \text { if } x > 1\end{array} \right.  Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g ( x )  = \left\{ \begin{array} { l }  x ^ { 2 } - 4 , \text { if } x < - 1 \\ 1 , \text { if } - 1 \leq x \leq 1 \\ x ^ { 2 } + 4 , \text { if } x > 1 \end{array} \right.    A)    B)    C)    D)


A)
 Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g ( x )  = \left\{ \begin{array} { l }  x ^ { 2 } - 4 , \text { if } x < - 1 \\ 1 , \text { if } - 1 \leq x \leq 1 \\ x ^ { 2 } + 4 , \text { if } x > 1 \end{array} \right.    A)    B)    C)    D)
B)
 Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g ( x )  = \left\{ \begin{array} { l }  x ^ { 2 } - 4 , \text { if } x < - 1 \\ 1 , \text { if } - 1 \leq x \leq 1 \\ x ^ { 2 } + 4 , \text { if } x > 1 \end{array} \right.    A)    B)    C)    D)
C)
 Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g ( x )  = \left\{ \begin{array} { l }  x ^ { 2 } - 4 , \text { if } x < - 1 \\ 1 , \text { if } - 1 \leq x \leq 1 \\ x ^ { 2 } + 4 , \text { if } x > 1 \end{array} \right.    A)    B)    C)    D)
D)
 Choose the one alternative that best completes the statement or answers the question. Graph the piecewise-defined function. - g ( x )  = \left\{ \begin{array} { l }  x ^ { 2 } - 4 , \text { if } x < - 1 \\ 1 , \text { if } - 1 \leq x \leq 1 \\ x ^ { 2 } + 4 , \text { if } x > 1 \end{array} \right.    A)    B)    C)    D)

Correct Answer

verifed

verified

Give the equation of the function g whose graph is described. -The graph of f(x) =xf ( x ) = | x | is reflected across the yy -axis. This graph is then vertically stretched by a factor of 7.97.9 . Finally, the graph is shifted 8 units downward.


A) g(x) =7.9x8g ( x ) = 7.9 | - x | - 8
B) g(x) =8x7.9g ( x ) = 8 | - x | - 7.9
C) g(x) =7.9x+8g ( x ) = 7.9 | - x | + 8
D) g(x) =7.9x8g ( x ) = - 7.9 | x | - 8

Correct Answer

verifed

verified

Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y1=3x,y2=3x+2y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2  Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2    A)    B)    C)    D)


A)
 Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2    A)    B)    C)    D)
B)
 Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2    A)    B)    C)    D)
C)
 Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2    A)    B)    C)    D)
D)
 Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis. - y_{1}=3 \sqrt{x}, y_{2}=3 \sqrt{x}+2    A)    B)    C)    D)

Correct Answer

verifed

verified

Fill in the blanks to complete the statement. -The graph of y=0.1x9+8.5y = 0.1 | x - 9 | + 8.5 can be obtained by shifting horizontally Fill in the blanks to complete the statement. -The graph of  y = 0.1 | x - 9 | + 8.5  can be obtained by shifting horizontally  units to the   , vertically shrinking by a factor of    and then shifting vertically   units in the  direction. A)  9 ; left;  0.1 ; 8.5 ; upward B)   0.1 ;  left;  9 ; 8.5 ; upward C)   8.5 ; right;  0.1 ; 9 ; downward D)  9 ; right; 0.1; 8.5; upward  units to the 11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 , vertically shrinking by a factor of 11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 and then shifting vertically11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 units in the11ecc462_eee5_8183_841e_b1b874fd7cdc_TB8181_00 direction.


A) 9 ; left; 0.1;8.50.1 ; 8.5 ; upward
B) 0.1;0.1 ; left; 9;8.59 ; 8.5 ; upward
C) 8.58.5 ; right; 0.1;90.1 ; 9 ; downward
D) 9 ; right; 0.1; 8.5; upward

Correct Answer

verifed

verified

Graph the function on your calculator to determine the domain and range from the graph. - q(x) =sin(x) +2q ( x ) = \sin ( x ) + 2


A) Domain: (,) ( - \infty , \infty ) ; range: [1,1][ - 1,1 ]
B) Domain: [1,3][ 1,3 ] ; range: (,) ( - \infty , \infty )
C) Domain: (,) ( - \infty , \infty ) ; range: (1,3) ( 1,3 )
D) Domain: (,) ( - \infty , \infty ) ; range: [1,3][ 1,3 ]

Correct Answer

verifed

verified

Find a direct relationship between x and y. - x=t4 and y=t2+t\mathrm { x } = \mathrm { t } - 4 \text { and } \mathrm { y } = \mathrm { t } ^ { 2 } + \mathrm { t }


A) y=x2+9x+20y = x ^ { 2 } + 9 x + 20
B) y=x2+x+20y = x ^ { 2 } + x + 20
C) y=x27x+12y = x ^ { 2 } - 7 x + 12
D) y=x2+x+12y = x ^ { 2 } + x + 12

Correct Answer

verifed

verified

Solve the problem. -The following information pertains to a bakery which makes donuts. Solve the problem. -The following information pertains to a bakery which makes donuts.    Make a scatterplot of the data. Based upon the scatterplot, what type of function would best model the data? A)  Constant function B)  Quadratic function C)  Linear function D)  All of the above Make a scatterplot of the data. Based upon the scatterplot, what type of function would best model the data?


A) Constant function
B) Quadratic function
C) Linear function
D) All of the above

Correct Answer

verifed

verified

Find the domain of the given function. - f(x) =xx2+3xf ( x ) = \frac { x } { x ^ { 2 } + 3 x }


A) (,0) (0,3) (3,) ( - \infty , 0 ) \cup ( 0,3 ) \cup ( 3 , \infty )
B) (,3) (3,) ( - \infty , - 3 ) \cup ( - 3 , \infty )
C) (,3) (3,0) (0,) ( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )
D) (,0) (0,) ( - \infty , 0 ) \cup ( 0 , \infty )

Correct Answer

verifed

verified

Determine the intervals on which the function is increasing, decreasing, and constant. - Determine the intervals on which the function is increasing, decreasing, and constant. -  A)  Increasing on  ( - \infty , 0 )  ; Decreasing on  ( 0 , \infty )   B)  Increasing on  ( 0 , \infty )  ; Decreasing on  ( - \infty , 0 )   C)  Increasing on  ( \infty , 0 )  ; Decreasing on  ( 0 , - \infty )   D)  Increasing on  ( - \infty , 0 )  ; Decreasing on  ( - \infty , 0 )


A) Increasing on (,0) ( - \infty , 0 ) ; Decreasing on (0,) ( 0 , \infty )
B) Increasing on (0,) ( 0 , \infty ) ; Decreasing on (,0) ( - \infty , 0 )
C) Increasing on (,0) ( \infty , 0 ) ; Decreasing on (0,) ( 0 , - \infty )
D) Increasing on (,0) ( - \infty , 0 ) ; Decreasing on (,0) ( - \infty , 0 )

Correct Answer

verifed

verified

Choose the one alternative that best completes the statement or answers the question. -What symmetry does the graph of y=f(x) y = f ( x ) exhibit?  Choose the one alternative that best completes the statement or answers the question. -What symmetry does the graph of  y = f ( x )   exhibit?    A)  origin B)   y -axis C)   x -axis D)  no symmetry


A) origin
B) yy -axis
C) xx -axis
D) no symmetry

Correct Answer

verifed

verified

Find the (x,y) pair for the value of the parameter. - x=t+1x = | t + 1 | and y=1t2y = \frac { 1 } { t ^ { 2 } } for t=2t = 2


A) (3,14) \left( 3 , \frac { 1 } { 4 } \right)
B) (3,14) \left( - 3 , \frac { 1 } { 4 } \right)
C) (14,3) \left( \frac { 1 } { 4 } , - 3 \right)
D) (1,14) \left( 1 , \frac { 1 } { 4 } \right)

Correct Answer

verifed

verified

Use an equation to solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 5%5 \% . How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1470.00\$ 1470.00 ?


A) $1543.50\$ 1543.50
B) $1420.00\$ 1420.00
C) $1450.00\$ 1450.00
D) $1400.00\$ 1400.00

Correct Answer

verifed

verified

Find the range of the function. - f(x) =(x2) 2+2f ( x ) = ( x - 2 ) ^ { 2 } + 2


A) (,2) ( - \infty , 2 )
B) (,) ( - \infty , \infty )
C) [0,) [ 0 , \infty )
D) [2,) [ 2 , \infty )

Correct Answer

verifed

verified

Find the domain of the given function. - f(x) =xx6f ( x ) = \frac { x } { x - 6 }


A) (,6) (6,) ( - \infty , - 6 ) \cup ( - 6 , \infty )
B) All real numbers
C) (,6) (6,) ( - \infty , 6 ) \cup ( 6 , \infty )
D) (0,) ( 0 , \infty )

Correct Answer

verifed

verified

Find the inverse of the function. - f(x) =x+4f ( x ) = \sqrt { x + 4 }


A) f1(x) =x4f ^ { - 1 } ( x ) = \sqrt { x - 4 }
B) f1(x) =(x+4) 2\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = ( \mathrm { x } + 4 ) ^ { 2 }
C) Not a one-to-one function
D) f1(x) =x24,x0f - 1 ( x ) = x ^ { 2 } - 4 , x \geq 0

Correct Answer

verifed

verified

Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable. - f(x) =x4+2xxf ( x ) = \frac { x ^ { 4 } + 2 x } { x }


A)
 Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable. - f ( x )  = \frac { x ^ { 4 } + 2 x } { x }  A)    Yes; non-removable  B)     No C)    No  D)    Yes; removable
Yes; non-removable

B)
 Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable. - f ( x )  = \frac { x ^ { 4 } + 2 x } { x }  A)    Yes; non-removable  B)     No C)    No  D)    Yes; removable

No
C)
 Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable. - f ( x )  = \frac { x ^ { 4 } + 2 x } { x }  A)    Yes; non-removable  B)     No C)    No  D)    Yes; removable
No

D)
 Graph the function and determine if it has a point of discontinuity at x = 0. If there is a discontinuity, tell whether it is removable or non-removable. - f ( x )  = \frac { x ^ { 4 } + 2 x } { x }  A)    Yes; non-removable  B)     No C)    No  D)    Yes; removable
Yes; removable

Correct Answer

verifed

verified

Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x) =13x8xf ( x ) = 13 x - 8 | x |


A) Even
B) Odd
C) Neither

Correct Answer

verifed

verified

Determine the intervals on which the function is increasing, decreasing, and constant. - Determine the intervals on which the function is increasing, decreasing, and constant. -  A)  Increasing on  ( - 1,0 )   and  ( 3,5 )  ; Decreasing on  ( 0,3 )  ; Constant on  ( - 5 , - 3 )   B)  Increasing on  ( - 2,0 )   and  ( 3,5 )  ; Decreasing on  ( 1,3 )  ; Constant on  ( - 5 , - 2 )   C)  Increasing on  ( - 2,0 )   and  ( 3,4 )  ; Decreasing on  ( - 5 , - 2 )   and  ( 1,3 )   D)  Increasing on  ( 1,3 )  ; Decreasing on  ( - 2,0 )   and  ( 3,5 )  ; Constant on  ( 2,5 )


A) Increasing on (1,0) ( - 1,0 ) and (3,5) ( 3,5 ) ; Decreasing on (0,3) ( 0,3 ) ; Constant on (5,3) ( - 5 , - 3 )
B) Increasing on (2,0) ( - 2,0 ) and (3,5) ( 3,5 ) ; Decreasing on (1,3) ( 1,3 ) ; Constant on (5,2) ( - 5 , - 2 )
C) Increasing on (2,0) ( - 2,0 ) and (3,4) ( 3,4 ) ; Decreasing on (5,2) ( - 5 , - 2 ) and (1,3) ( 1,3 )
D) Increasing on (1,3) ( 1,3 ) ; Decreasing on (2,0) ( - 2,0 ) and (3,5) ( 3,5 ) ; Constant on (2,5) ( 2,5 )

Correct Answer

verifed

verified

Showing 21 - 40 of 362

Related Exams

Show Answer