Practice Test

Question 1

Which relation represents a one-to-one function?

Revolt · Accepted Answer

Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '9'; Column 2, '12' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '4'; Column 2, '9' Row 5: Column 1, '1'; Column 2, '13' Row 6: Column 1, '5'; Column 2, '5'

Question 2

For what value of c is the function one-to-one? start set open paren 1 comma 2 close paren comma open paren 2 comma 3 close paren comma open paren 3 comma 5 close paren comma open paren 4 comma 7 close paren comma open paren 5 comma 11 close paren comma open paren 6 comma c close paren end set

Revolt · Accepted Answer

13

Question 3

Which function is the inverse of f of x is equal to negative 5 x minus 4 ?

Revolt · Accepted Answer

f inverse of x is equal to negative 1 fifth x minus 4 fifths

Question 4

Which graph represents an even function?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 4 comma negative 3), (negative 3 comma negative 5), (negative 2 comma 1), (0 comma 0), (2 comma 1), (3 comma negative 5), and (4 comma negative 3).

Question 5

For which pair of functions is open paren f circ g close paren times x is equal to 12 x ?

Revolt · Accepted Answer

f of x is equal to 4 x and g of x is equal to 3 x

Question 6

The height in feet, h , of a model rocket t seconds after launch is given by the equation h of t is equal to 3 plus 70 t minus 16 t squared The average rate of change in h of t between t is equal to 1 second and t is equal to 3 second is 6 What does the average rate of change tell you about the rocket?

Revolt · Accepted Answer

The rocket is at a greater height when t is equal to 3 than it is when t is equal to 1 .

Question 7

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

Revolt · Accepted Answer

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Question 8

If f of x is equal to x squared minus 25 and g of x is equal to x minus 5 , what is the domain of open paren f over g close paren of x ?

Revolt · Accepted Answer

all real values of x except x is equal to 5

Question 9

If f of x is equal to 3 x squared and g of x is equal to 4 x cubed plus 1 , what is the degree of open paren f circ g close paren times x ?

Revolt · Accepted Answer

6

Question 10

The cost of producing x soccer balls in thousands of dollars is represented by h of x is equal to 5 x plus 6 The revenue is represented by k times x is equal to 9 x minus 2 Which expression represents the profit, open paren k minus h close paren times x , of producing soccer balls?

Revolt · Accepted Answer

4 x minus 8

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