AnswersAdvanced Algebra Concepts and ConnectionsExponential and Logarithmic Functions: Part One

Practice Test Answers

6 verified answers
1
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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 square root of x and g of x is equal to 144 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 6 x squared and g of x is equal to 2 over x
3

Which statement best describes how to determine whether f of x is equal to x squared minus x plus 8 is an even function?

A
Determine whether negative x squared minus negative x plus 8 is equivalent to negative open paren x squared minus x plus 8 close paren .
B
Determine whether negative x squared minus negative x plus 8 is equivalent to x squared minus x plus 8 .
C
Determine whether negative x squared minus negative x plus 8 is equivalent to negative open paren x squared minus x plus 8 close paren .
D
Determine whether negative x squared minus negative x plus 8 is equivalent to x squared minus x plus 8 .
4

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

A
b is not equal to 0
B
m is equal to 0
C
b is equal to 0
D
m is not equal to 0
5

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

A
f inverse of x is equal to negative 1 fifth x minus 4 fifths
B
f inverse of x is equal to negative 1 fifth x plus 4 fifths
C
f inverse of x is equal to 4 x plus 4
D
f inverse of x is equal to negative 4 x plus 5
6

Which graph represents an even function?

A
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 8 points. The points are (negative 4 comma 2), (negative 3 comma negative 1), (negative 1 comma negative 3), (0 comma 1), (1 comma 0), (2 comma negative 4), (4 comma 5), and (5 comma 4).
B
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).
C
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 3 comma negative 6), (negative 2 comma negative 4), (negative 1 comma negative 2), (0 comma 0), (1 comma 2), (2 comma 4), and (3 comma 6).
D
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 5 comma 2), (negative 4 comma 1), (negative 3 comma 3), (negative 2 comma 5), (2 comma negative 2), (3 comma negative 5), (4 comma negative 6).

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