Which of the following is true about the graph of (x)=7^x? a)it intercepts the x-axis b)it intercepts both axis c)it intercepts neither axis d)it intercepts the y-axis

D)It intercepts the y-axis

Step-by-step explanation:

The given function is

In order to check that the given graph intersects which of the two axes , we find the x and y intercepts.

For y - intercept, x =0

Any number with power 0 is 1. Hence, we have

Hence, the y- intercept is 1 and the graph intersects the y axis at the point (0,1)

Now, we find x- intercept

For x - intercept, y =0

For no value of x, the value of the function equal to zero.

Hence, no real values of x.

Thus, the graph doesn't intersect the x axis.

Therefore, the correct option is D.

step-by-step explanation: