AnswersAlgebraic ReasoningWriting Linear Functions

Practice Test Answers

8 verified answers1 views
3
Free Preview

If g of x and f of x are inverse functions, which graph represents g of x ?

A
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a graph opens up and to the left in quadrant 1. The graph starts at (0 comma 0) and curves up sharply through (2 comma 4).
B
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens up and to the left in quadrant 1. The curve starts at (0 comma 0) and curves up through (4 comma 1).
C
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens down and to the left in quadrant 2. The graph starts at (0 comma 0) and gradually curves through (negative 4 comma 2).
D
Image with description On a coordinate plane with x and y axes marked from negative 6 to 6, a curve opens open and to the left in quadrant 3. The curve starts at (0 comma 0) and curves gradually through (negative 4 comma negative 2).
4

Which description could be written as a linear function?

A
ten more than the square of a number
B
eight more than twice a number
C
nine more than one divided by a number
D
three more than the product of two numbers
5

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 ?

A
all real values of x except x is equal to 5 and x is equal to negative 5
B
all real values of x except x is equal to negative 5
C
all real values of x
D
all real values of x except x is equal to 5
6

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

A
f of x is equal to 6 x squared and g of x is equal to 2 over x
B
f of x is equal to 3 minus 4 x and g of x is equal to 16 x minus 3
C
f of x is equal to 4 x and g of x is equal to 3 x
D
f of x is equal to square root of x and g of x is equal to 144 x
7

Consider the table of values for h of x is equal to f of x over g of x x f of x g of x h of x is equal to f of x over g of x 1 10 2 2 13 4 3 18 6 4 25 8 Which values complete the table for h of x ?

A
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x over g of x' Row 2: Column 1, '5' Row 3: Column 1, '13 halves' Row 4: Column 1, '9' Row 5: Column 1, '25 halves'
B
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x over g of x' Row 2: Column 1, '5' Row 3: Column 1, '13 fourths' Row 4: Column 1, '3' Row 5: Column 1, '25 eighths'
C
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x over g of x' Row 2: Column 1, '1 fifth' Row 3: Column 1, '4 over 13' Row 4: Column 1, '1 third' Row 5: Column 1, '8 over 25'
D
Table with 1 columns and 5 rows.Row 1: Column 1, 'h of x is equal to f of x over g of x' Row 2: Column 1, '1 fifth' Row 3: Column 1, '8 over 13' Row 4: Column 1, '1' Row 5: Column 1, '32 over 25'
8

If the function f of x is equal to m x plus b has an inverse function, which statement must be true?

A
m is equal to 0
B
b is equal to 0
C
b is not equal to 0
D
m is not equal to 0
9

What is the equation of a line with a slope of negative 2 that passes through the point open paren 6 comma 8 close paren ?

A
2 x plus y is equal to 20
B
y minus 2 x is equal to 4
C
y minus 2 x is equal to 20
D
2 x plus y is equal to 4

Did you find these answers helpful?