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.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.