Question

Which of the following is true about the graph of f(x)=7^x. Select all that apply.

a= it intercepts the x axis


b=it intercepts both axis


c=it intercepts neither


d=it intercepts the y axis

Answer 1

d

Explanation:

Answer 2

D

Explanation:

If it intersects the x axis, then y = 0. This is not possible, as you can plug in x to be 1/100000000000000000000000000000000000, or something very tiny, but it will never get 0. So, A is not a choice.

This also means B is not a choice.

If C is a choice, then it does not intercept the y axis, or x cannot be 0. This is not true, because (0, 1) is on the graph.

Finally, we have D. It intercepts the y axis (we have proven this in C). So, this is the only answer choice that is correct.