Answer:
(0,-5)
Step-by-step explanation:
The given function is :
[tex]y = - 5 {(0.5)}^{x} [/tex]
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:
[tex]y = - 5(0.5)^{0} [/tex]
We evaluate exponents to get:
[tex]y = - 5(1)[/tex]
[tex]y = - 5[/tex]
The function crosses the y-axis at (0,-5).
