Question

Answer the following questions comparing the nonlinear parent​ function(s) to the linear parent function.
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Part 1
Which nonlinear parent​ function(s) have the same intercepts as the linear parent​ function? Select all that apply.
A.
Cube Root
Your answer is correct.B.
Quadratic
Your answer is correct.C.
Absolute Value
Your answer is correct.D.
Square Root
Your answer is correct.E.
Exponential
Part 2
Which nonlinear parent​ function(s) do not have the same intercepts as the linear parent​ function? Select all that apply.
A.
Quadratic
B.
Square Root
C.
Exponential
D.
Cube Root
E.
Absolute Value

Answer 1

Part 1: A, B, C, D — Cube Root, Quadratic, Absolute Value, and Square Root all pass through the origin (0,0), so they have the same x- and y-intercepts as y = x.

Part 2: C — Exponential does not. A standard exponential (e.g. y = 2^x) has y-intercept 1 (and no real x-intercept), so it does not share the linear parent function’s intercepts.