Question

-5-What is the intercept of function gif 9(r) = -4/(r) + 127

Answer 1

The parent function is given to be:

$f(x)=10^x$

The new function is given to be:

$g(x)=-4f(x)+12$

Therefore, the function will be:

$g(x)=-4(10)^x+12$

The y-intercept is the value of y when x = 0. Therefore, we have:

$\begin{gathered} y=-4(10)^0+12 \\ y=-4+12 \\ y=8 \end{gathered}$

Therefore, the y-intercept is:

$\mathrm{Y\:Intercepts}:\:\left(0,\:8\right)$