Question

Need help with this math problem, all parts pleasePart 2 : Find Y-interceptsPart 3: Graph the function

Answer 1

Given the following function:

`h(x)=0.1(x-3)^2(x+3)^3`

The function has a degree = 5 (odd number)

And the leading coefficient = 0.1 (A positive number)

So, the end behavior will be as follows:

So, the answer will be:

The end behavior of the function is down to the left

and up to the right.

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Part 2: Find the y-intercepts

The y-intercept is the value of y when x = 0

so, we will substitute x = 0 and find the value of y

`y=0.1(0-3)^2(0+3)^3=0.1*9*27=24.3`

So, the answer will be:

y-intercept = 24.3

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Now, we'll graph the function using the data from the previous parts

We will make a table between x and y to graph the function

The table and the graph will be as follows: