14
practice testMultiple Choice

Practice Test

Question 14 • Mathematics II

The step function g of x is defined as shown. g of x is equal to negative 3 when x is less than or equal to 0; g of x is equal to 2 when 0 is less than x comma x is less than or equal to 4; g of x is equal to 5 when 4 is less than x comma x is less than or equal to 10 What is the range of g of x ?

Answer
A
0 is less than or equal to g of x comma g of x is less than or equal to 10
B
start set 0 comma 4 comma 10 end set
C
start set negative 3 comma 2 comma 5 end set
D
negative 3 is less than or equal to g of x comma g of x is less than or equal to 5

Explanation

The range is the set of all output values of g(x). From the definition, g(x) can equal −3, 2, or 5, so the range is {−3, 2, 5}. Choice C gives this set; the interval in choice D includes values g(x) never takes.

AI-written and checked against the verified answer.

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