this is the graph of an exponential function. write an equation for the function in the form f(x)=a(b)^x…

this is the graph of an exponential function. write an equation for the function in the form f(x)=a(b)^x. use whole numbers, decimals, or simplified fractions for the values of a and b. f(x) =

this is the graph of an exponential function. write an equation for the function in the form f(x)=a(b)^x. use whole numbers, decimals, or simplified fractions for the values of a and b. f(x) =

Answer

Explanation:

Step1: Substitute point (0, - 2)

The general form of an exponential function is $f(x)=a(b)^x$. When $x = 0$, $f(0)=a(b)^0=a$. Since the point $(0,-2)$ lies on the graph, then $a=-2$.

Step2: Substitute point (1, - 10) and find b

We know $a=-2$ and the function is $f(x)=-2(b)^x$. Substitute the point $(1, - 10)$ into the function: $f(1)=-2(b)^1=-10$. Solving for $b$, we get $b = 5$.

Answer:

$f(x)=-2(5)^x$