Question

Determine the y-intercept of the following exponential function. f(x)=-300(1.25)²⁽ˣ⁺¹.⁵⁾+13 •(0,-572.9375 •y=-287 •(-8.5,0) •y=5/4

Answer 1

The y-intercept of the given exponential function is -517.34.

Step-by-step explanation:

The y-intercept of an exponential function can be determined by setting the value of x to 0 and solving for y. In the given function, f(x) = -300(1.25)^(x+1.5) + 13, we can find the y-intercept by plugging in x=0 into the function:

f(0) = -300(1.25)^(0+1.5) + 13

= -300(1.25)^1.5 + 13

= -300(1.7678) + 13

= -530.34 + 13

= -517.34

Therefore, the y-intercept of the given exponential function is -517.34.