61
QuizMultiple Choice

Comparing Characteristics of Functions — Quiz

Question 61 • Mathematics II

Which functions have a y -intercept that is greater than the y -intercept of the function g of x is equal to start absolute value x plus 3 end absolute value plus 4 ? Choose three correct answers.

Answer
A
k times x is equal to 1 fourth times open paren x minus 4 close paren squared plus 4
B
j times x is equal to negative 4 times open paren x plus 2 close paren squared plus 8
C
f of x is equal to negative 2 times open paren x minus 8 close paren squared
D
h of x is equal to negative 5 divides x divides plus 10
E
m times x is equal to 1 fourth divides x minus 8 divides plus 6

Explanation

The y-intercept is the function’s value when x = 0. For g, |0 + 3| + 4 = 7, so we need functions with y-intercepts greater than 7. Choice A has value ¼(0 − 4)² + 4 = 8; choice C has value ¼|0 − 8| + 6 = 8; and choice D has value −5|0| + 10 = 10. Each is greater than 7.

AI-written and checked against the verified answer.

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