AnswersAlgebra IIFunction Operations

Function Operations — Quiz Answers

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Which of the following is the graph of open paren g minus f close paren of x ?

A
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 1. The graph has a straight line with a positive slope. It goes through points (negative 2 comma negative 6), (0 comma 0), and (2 comma 6).
B
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 1. The graph has a straight line with a negative slope. It goes through points (negative 2 comma 6), (0 comma 0), and (2 comma negative 6).
C
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 1. The graph has a straight line with a negative slope. It goes through points (negative 6 comma 6), (0 comma 0), and (6 comma negative 6).
D
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 1. The graph has a straight line with a negative slope. It goes through points (negative 6 comma 6), (0 comma 0), and (6 comma negative 6).
2
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If f of x and g of x are quadratic functions but open paren f plus g close paren of x produces the graph, which statement must be true?

A
The leading coefficients of f of x and g of x are reciprocals.
B
The leading coefficients of f of x and g of x are the same.
C
The leading coefficients of f of x and g of x are opposite reciprocals.
D
The leading coefficients of f of x and g of x are opposites.
8

Which expression is equivalent to open paren f plus g close paren of 4 ?

A
f of x plus g of 4
B
4 times open paren f of x plus g of x close paren
C
f of open paren 4 plus g of 4 close paren
D
f of 4 plus g of 4
10

For what interval is the value of open paren f minus g close paren of x negative?

A
open paren negative infinity comma negative 1 close paren
B
open paren 0 comma 3 close paren
C
open paren 2 comma infinity close paren
D
open paren negative infinity comma 2 close paren

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