Question

Where does the function y = − 5 ( 0.5 ) x cross the y-axis?

Answer 1

Answer:

(0,-5)

Step-by-step explanation:

The given function is :

$y = - 5 {(0.5)}^{x}$

We want to find the point where the graph touches the y-axis.

At this y-intercept, the x-value is zero.

So we put x=0 into the equation to obtain:

$y = - 5(0.5)^{0}$

We evaluate exponents to get:

$y = - 5(1)$

$y = - 5$

The function crosses the y-axis at (0,-5).