What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3

I assume your equation is


x intercept is where the line crosses the x axis or where y=0
set y=f(x)=0 and solve


minus 3 both sides

divide both sides by -32

take the ln of both sides


add 3ln(2) to both sides

divide both sides by ln(2)



the x intercept is at
or aprox at x=-0.415037