Question

which of the following functions has a graph that passes through the origin select all that apply (2 answers)

Answer 1

If the function passes through the origin, when x is equal to zero y must be equal to zero.

Replacing x=0 in the functions, we have:

Power function

y=(0)^n=0

We see that the power function must pass through the origin.

Root function

y=(0)^(1/n)=0

We see that the root function must pass through the origin.

Reciprocal function

y=1/0 = undefined

We see that the reciprocal function does not pass through the origin.

Exponential function

y=b^0=1

We see that the exponential function does not pass through the origin.

The answers are the options A and B.