5. In the equation for exponential functions, y = a. b*, how does the a term relate to a key feature of the graph?

Step-by-step explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as

If we are trying to find the y intercept, we first set this equal to y

Set x=0

And solve for y.

Remeber that anything raised to the zero power is 1. So

So we have

Anything times 1 is itself so we have

This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.

b

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204