Find the y-intercept of the exponential function f(x) = -(1/4)x

Question

nirmalnema · Answer

y intercept is that point where that line croses the y axis

acacia · Answer

@Chrisub it was f(x) = - (1/4)^x sorry if ti confused you I wrote it bad

anonymous · Answer

Do you mean (-1/4)^x, because what is written there is not an exponential function... However to answer your question, the y-int is the point at which your graph crosses the y-axis. If you were to look at a graph you would see that every y-int occurs when x=0 |dw:1372262291952:dw|

anonymous · Answer

@acacia I realized that in the end, thanks! :)

acacia · Answer

So then it would be (0,0) ??? or (0,-1)

anonymous · Answer

the picture says, A y intercept is a point where there is no direction on x. X has no direction left nor right. All y intercepts occur when your x is equal to zero. So to find your y_int, plug in zero for x. You will end up with (-1/4)^0 and any number to the power of zero is equal to 1.

anonymous · Answer

And if the negative is on the outside of 1/4 like you wrote... -(1/4)^x the exponent will only be acting upon the number and not the negative so it will be -(1/4)^0 which will be -(1) so -1

acacia · Answer

Ohh okay