Question 1

Write an equation for the piecewise function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
-g(x)=f(x-1) ;(4,14)
A)  (4,15) 
B)  (3,14) 
C)  (5,14) 
D)  (4,13)

Accepted Answer

The answer of The given point is on the graph...

Question 3

For the pair of functions, find the indicated sum, difference, product, or quotient.
-f(x) =5+x, g(x) =4|x|
Find (g/f) (x) .

Accepted Answer

A)    4∣x∣−5+x4 | x | - 5 + x4∣x∣−5+x 
B)    4∣x∣5+x\frac { 4 | x | } { 5 } + x54∣x∣​+x 
C)    4∣x∣5+x\frac { 4 | x | } { 5 + x }5+x4∣x∣​ 
D)    5+x4∣x∣\frac { 5 + x } { 4 | x | }4∣x∣5+x​

Question 4

Determine the domain and range of the function.
-

Accepted Answer

A)   domain:  (−∞,−5]( - \infty , - 5 ](−∞,−5]  range:  (−∞,1]( - \infty , 1 ](−∞,1] 
B)   domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)   range:  (−∞,1]( - \infty , 1 ](−∞,1] 
C)   domain:  (−∞,∞) ;( - \infty , \infty )  ;(−∞,∞) ;  range:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
D)   domain:  (−∞,−5) ∪(−5,∞) ( - \infty , - 5 )  \cup ( - 5 , \infty ) (−∞,−5) ∪(−5,∞)   range:  (−∞,1) ∪(1,∞) ( - \infty , 1 )  \cup ( 1 , \infty ) (−∞,1) ∪(1,∞)

Question 5

Solve.
-At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by  C(x)=7 x+14  and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 51 x - 14$ where  x  represents the number of boxes of computer chips produced. The total revenue function,  R(x) , is such that  R(x)=C(x)+P(x) . Find  R(x) .
A) $R ( x ) = 58 x + 0.3 x ^ { 2 }$
B) $R ( x ) = 58 x - 0.3 x ^ { 2 }$
C) $R ( x ) = 57 x - 0.6 x ^ { 2 }$
D) $R ( x ) = 60 x - 0.3 x ^ { 2 }$

Accepted Answer

The answer of Solve.
-At Allied Electronics, production has begun on...

Question 6

For the pair of functions, find the indicated domain.
-$f ( x ) = 3 x - 2 , g ( x ) = \frac { 3 } { x + 7 }$
Find the domain of f+g
A) $( - \infty , - 3 ) \text { or } ( - 3 , \infty )$
B) $( - \infty , \infty )$
C) $( 0 , \infty )$
D) $( - \infty , - 7 ) \text { or } ( - 7 , \infty )$

Accepted Answer

The answer of For the pair of functions, find the...

Question 7

Determine algebraically whether the function is even, odd, or neither even nor odd.
- f(x) =3x3f ( x )  = 3 \sqrt [ 3 ] { x }f(x) =33x​

Accepted Answer

A)   Even
B)   Odd
C)   Neither

Question 8

Answer the question.
-How can the graph of $f ( x ) = - ( x - 1 ) ^ { 2 } + 6$ be obtained from the graph of $y = x ^ { 2 } ?$
A) Shift it horizontally 1 units to the left. Reflect it across the  x -axis. Shift it 6 units up.
B) Shift it horizontally 1 units to the right. Reflect it across the  x -axis. Shift it 6 units up.
C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up.
D) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down.

Accepted Answer

The answer of Answer the question.
-How can the graph of...

Question 9

The graph of the function f is shown below. Match the function g with the correct graph.
-

Accepted Answer

A)    
B)   
C)   
D)

Question 10

The graph of the function f is shown below. Match the function g with the correct graph.
-g(x) = 2f(x)

Accepted Answer

A)    
B)   
C)   
D)

Question 11

Find the requested function value.
-
Find 
A)  -16 
B)  -36 
C) 324
D)

Accepted Answer

The answer of Find the requested function value.
-
Find 
A) ...

Question 12

Solve.
-The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 315 seconds are required to make a 5 -by- 7 enlargement, find the time required for a 6 -by- 10 enlargement.

Accepted Answer

A)  480 sec
B)  660 sec
C)  600 sec
D)  540 sec

Question 13

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$f ( x ) = x - 4 , g ( x ) = - 4 x ^ { 2 } + 16 x - 4$
Find (fg)(3) 
A)  -53 
B)  -8 
C)  -280 
D) 56

Accepted Answer

The answer of For the pair of functions, find the...

Question 14

Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is
increasing or decreasing. Round to three decimal places when necessary.
- f(x) =12x3+12x2−x+1f ( x )  = \frac { 1 } { 2 } x ^ { 3 } + \frac { 1 } { 2 } x ^ { 2 } - x + 1f(x) =21​x3+21​x2−x+1

Accepted Answer

A)   relative maximum:  2.056  at  x=-1.215 ; relative minima:  0.684  at  x=0.549  and 1 at  x=0 ; increasing  (-1.215,0.549)  ; decreasing  (−∞,−1.215) ,(0.549,∞) ( - \infty , - 1.215 )  , ( 0.549 , \infty ) (−∞,−1.215) ,(0.549,∞)  
B)   relative maximum:  0.684  at  x=0.549 ; relative minimum:  2.056  at  x=-1.215 ; increasing  (-1.215,0.549)  ; decreasing  (−∞,−1.215) ,(0.549,∞) ( - \infty , - 1.215 )  , ( 0.549 , \infty ) (−∞,−1.215) ,(0.549,∞)  
C)   no relative maxima or minima; increasing  (→∞,−1.215) ,(0.549,∞) ( \rightarrow \infty , - 1.215 )  , ( 0.549 , \infty ) (→∞,−1.215) ,(0.549,∞)   decreasing  (-1.215,0.549)  
D)   relative maximum:  2.056  at x=-1.215 ; relative minimum:  0.684  at  x=0.549 ; increasing  (∞,−1.215) ,(0.549,∞) ( \infty , - 1.215 )  , ( 0.549 , \infty ) (∞,−1.215) ,(0.549,∞)   decreasing  (-1.215,0.549)

Question 15

Graph the function. Use the graph to find any relative maxima or minima.
-

Accepted Answer

A)   Relative minimum of  -4 at x=1 
B)   No relative extrema
C)   Relative maximum of  -4 at x=0 
D)   Relative minimum of  -4 at x=0

Question 16

Find an equation of variation for the given situation.
- p  varies directly as  q , and  p=1  when $q = \frac { 1 } { 3 } .$
A) $p = \frac { 1 } { 3 } q$
B)  p=4 q 
C)  p=3 q 
D)  p=2 q

Accepted Answer

The answer of Find an equation of variation for the...

Question 17

The graph of the function f is shown below. Match the function g with the correct graph.
- g(x) =−12f(x) g ( x )  = - \frac { 1 } { 2 } f ( x ) g(x) =−21​f(x)

Accepted Answer

A)    
B)   
C)   
D)

Exam 2: More on Functions

For the pair of functions, find the indicated domain. - $f ( x ) = 3 x - 2 , g ( x ) = \frac { 3 } { x + 7 }$ Find the domain of f+g A) $( - \infty , - 3 ) \text { or } ( - 3 , \infty )$ B) $( - \infty , \infty )$ C) $( 0 , \infty )$ D) $( - \infty , - 7 ) \text { or } ( - 7 , \infty )$

Correct Answer
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The graph of the function f is shown below. Match the function g with the correct graph. - $g ( x ) = - \frac { 1 } { 2 } f ( x )$ $The graph of the function f is shown below. Match the function g with the correct graph. - g ( x ) = - \frac { 1 } { 2 } f ( x ) A) B) C) D)$

Correct Answer
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Write an equation for the piecewise function. -

Correct Answer
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Find the requested function value. - Find A) -16 B) -36 C) 324 D)

Correct Answer
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Determine algebraically whether the function is even, odd, or neither even nor odd. - $f ( x ) = 3 \sqrt [ 3 ] { x }$

Correct Answer
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For the pair of functions, find the indicated sum, difference, product, or quotient. -f(x) =5+x, g(x) =4|x| Find (g/f) (x) .

Correct Answer
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The given point is on the graph of y = f(x). Find a point on the graph of y = g(x). -g(x)=f(x-1) ;(4,14) A) (4,15) B) (3,14) C) (5,14) D) (4,13)

Correct Answer
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Correct Answer
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Graph the function. Use the graph to find any relative maxima or minima. -

Correct Answer
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Solve. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 315 seconds are required to make a 5 -by- 7 enlargement, find the time required for a 6 -by- 10 enlargement.

Correct Answer
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The graph of the function f is shown below. Match the function g with the correct graph. -g(x) = 2f(x)

Correct Answer
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Correct Answer
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For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = x - 4 , g ( x ) = - 4 x ^ { 2 } + 16 x - 4$ Find (fg)(3) A) -53 B) -8 C) -280 D) 56

Correct Answer
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The graph of the function f is shown below. Match the function g with the correct graph. -

Correct Answer
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Correct Answer
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Correct Answer
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Find an equation of variation for the given situation. - p varies directly as q , and p=1 when $q = \frac { 1 } { 3 } .$ A) $p = \frac { 1 } { 3 } q$ B) p=4 q C) p=3 q D) p=2 q

Correct Answer
verified

Exam 2: More on Functions

Correct AnswerverifiedShow Answer

The graph of the function f is shown below. Match the function g with the correct graph. - g(x) =−12f(x) g ( x ) = - \frac { 1 } { 2 } f ( x ) g(x) =−21​f(x)

Correct AnswerverifiedShow Answer

Write an equation for the piecewise function. -

Correct AnswerverifiedShow Answer

Find the requested function value. - Find A) -16 B) -36 C) 324 D)

Correct AnswerverifiedShow Answer

Determine algebraically whether the function is even, odd, or neither even nor odd. - f(x) =3x3f ( x ) = 3 \sqrt [ 3 ] { x }f(x) =33x​

Correct AnswerverifiedShow Answer

For the pair of functions, find the indicated sum, difference, product, or quotient. -f(x) =5+x, g(x) =4|x| Find (g/f) (x) .

Correct AnswerverifiedShow Answer

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x). -g(x)=f(x-1) ;(4,14) A) (4,15) B) (3,14) C) (5,14) D) (4,13)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Graph the function. Use the graph to find any relative maxima or minima. -

Correct AnswerverifiedShow Answer

Solve. -The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 315 seconds are required to make a 5 -by- 7 enlargement, find the time required for a 6 -by- 10 enlargement.

Correct AnswerverifiedShow Answer

The graph of the function f is shown below. Match the function g with the correct graph. -g(x) = 2f(x)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=x−4,g(x)=−4x2+16x−4f ( x ) = x - 4 , g ( x ) = - 4 x ^ { 2 } + 16 x - 4f(x)=x−4,g(x)=−4x2+16x−4 Find (fg)(3) A) -53 B) -8 C) -280 D) 56

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The graph of the function f is shown below. Match the function g with the correct graph. -

Correct AnswerverifiedShow Answer

Determine the domain and range of the function. -

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Correct AnswerverifiedShow Answer

Find an equation of variation for the given situation. - p varies directly as q , and p=1 when q=13.q = \frac { 1 } { 3 } .q=31​. A) p=13qp = \frac { 1 } { 3 } qp=31​q B) p=4 q C) p=3 q D) p=2 q

Correct AnswerverifiedShow Answer

Correct Answer
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The graph of the function f is shown below. Match the function g with the correct graph. - $g ( x ) = - \frac { 1 } { 2 } f ( x )$ $The graph of the function f is shown below. Match the function g with the correct graph. - g ( x ) = - \frac { 1 } { 2 } f ( x ) A) B) C) D)$

Correct Answer
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Correct Answer
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Correct Answer
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Determine algebraically whether the function is even, odd, or neither even nor odd. - $f ( x ) = 3 \sqrt [ 3 ] { x }$

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = x - 4 , g ( x ) = - 4 x ^ { 2 } + 16 x - 4$ Find (fg)(3) A) -53 B) -8 C) -280 D) 56

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Find an equation of variation for the given situation. - p varies directly as q , and p=1 when $q = \frac { 1 } { 3 } .$ A) $p = \frac { 1 } { 3 } q$ B) p=4 q C) p=3 q D) p=2 q

Correct Answer
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