Question

algebra: concepts and connections - plc vertical stretches and shrinks of exponential functions what is the value of a for the exponential function in the graph represented in the form of ( f(x) = a(b^x) )? options: 4, -4, -3, 3

Explanation:

Step1: Recall exponential function form

The function is $f(x)=a(b^x)$. For $x=0$, $b^0=1$, so $f(0)=a$.

Step2: Find f(0) from the graph

The graph intersects the y-axis (where $x=0$) at the point $(0, 4)$. So $f(0)=4$.

Step3: Solve for a

Since $f(0)=a$, substitute $f(0)=4$ to get $a=4$.

Answer:

4