Question

Which nonlinear parent​ function(s) do not have the same intercepts as the linear parent​ function? Select all that apply.
A.
Quadratic
B.
Cube Root
C.
Exponential
D.
Absolute Value
E.
Square Root

Answer 1

C. Exponential

Reason: The linear parent f(x)=x has intercepts at (0,0). Quadratic x^2, cube root ∛x, absolute value |x|, and square root √x all satisfy f(0)=0, so they share the intercept (0,0). The exponential parent (e.g. e^x or 2^x) has f(0)=1 (y-intercept (0,1)) and no x-intercept, so it does not match the linear intercepts.