Chapter 7.5, Problem 8QR

To determine

To find the y-intercept of the graph of $f$ .

Answer to Problem 8QR

y-intercept of $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}$ is $10$ .

Explanation of Solution

Given information:

The function $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}$

Calculation:

The function $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}$

y-intercept of $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}$ can be determined by putting $x=0$

therefore, $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}=\frac{60}{1+5e^{-0.1\times 0}}=\frac{60}{6}=10$

hence, y-intercept of $f\left(x\right)=\frac{60}{1+5e^{-0.1x}}$ is $10$ .