30
QuizMultiple Choice

Comparing Characteristics of Functions — Quiz

Question 30 • Mathematics II

Which function has the greatest x -intercept?

Answer
A
h of x is equal to 2 to the x th power minus 16
B
g of x is equal to start absolute value x plus 3 end absolute value
C
f of x is equal to 3 x minus 9
D
j times x is equal to negative 5 times open paren x minus 2 close paren squared

Explanation

An x-intercept occurs where the function equals 0. For choice A, the zero is x = 2; for B, 3x − 9 = 0 gives x = 3; and for C, |x + 3| = 0 gives x = −3. For D, 2^x − 16 = 0 means 2^x = 16 = 2^4, so x = 4, the greatest x-intercept. The answer is D, h(x) = 2^x − 16.

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