Question

1. consider the linear function $f(x)=7x + 25$ and the exponential function $g(x)=4(1.35)^x$

(a) how many units larger is the y-intercept of the linear function than that of the exponential function?

Explanation:

Step1: Find y-intercept of $f(x)$

For linear function $f(x)=7x+25$, set $x=0$:
$f(0)=7(0)+25=25$

Step2: Find y-intercept of $g(x)$

For exponential function $g(x)=4(1.35)^x$, set $x=0$:
$g(0)=4(1.35)^0=4(1)=4$

Step3: Calculate the difference

Subtract the two intercepts:
$25 - 4 = 21$

Answer:

21