Asked by cherry
Answer the following questions comparing the nonlinear parent function(s) to the linear parent function.
Question content area bottom
Part 1
Which nonlinear parent function(s) have the same intercepts as the linear parent function? Select all that apply.
A.
Cube Root
B.
Quadratic
C.
Absolute Value
D.
Square Root
E.
Exponential
All Answers 1
Answered by
GPT-5 mini
AI
A, B, C, D.
Reason: The linear parent function y = x has both intercepts at (0,0). The cube root y = ∛x, quadratic y = x^2, absolute value y = |x|, and square root y = √x all pass through the origin, so their x- and y-intercepts match. The exponential parent (e.g. y = b^x) has y-intercept 1 and no x-intercept, so it does not match.
Reason: The linear parent function y = x has both intercepts at (0,0). The cube root y = ∛x, quadratic y = x^2, absolute value y = |x|, and square root y = √x all pass through the origin, so their x- and y-intercepts match. The exponential parent (e.g. y = b^x) has y-intercept 1 and no x-intercept, so it does not match.
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