Let ƒ(x) = (x - 3) (x + 3)²

f. State the x- a...

Question

Let ƒ(x) = (x - 3) (x + 3)²

f. State the x- and y-intercepts of the graph of ƒ.

Accepted Answer

Welcome back, everyone. Find the X and Y intercepts of the function p of X equals X + 1 multiplied by X minus 62. So to find the X and Y intercepts, Without memorization, we can simply draw a coordinate lame. And visualize a simple linear function. Let's see where it crosses the x axis. Those would be the X intercepts. And we can immediately solve that for the X intercepts. The Y coordinate is simply zero, right? So we can say Y is 0. Now for the Y intercepts, where does the line cross the Y axis? Well, this means that X is equal to 0. So we want to use these to identify the X and Y intercepts for the given function. Starting with the X intercepts, we set Y equals 0, which means that key of X. is equal to 0 and P X X + 1, our first factor multiplied by x minus 6 squad. We set it equal to 0. We have a product of two functions, so either the first function is equal to 0, which means that X + 1 is equal to 0, or X minus 6 is equal to 0. So if we solve those equations, we either get X equals -1 or X is equal to 6. So we got our X intercepts. So our X intercepts will have a form of X 0 because Y is 0, right? So the first point is -10. The second point is 6.0. Those would be the X intercepts. Now let's identify the Y intercepts. And in this case we simply set x equals 0. So we want to identify P of 0, meaning for every X we substitute 0, and we get 0 + 1 multiplied by 0 minus 6 squad. So 1 multiplied by -6 where it gives us 36. And this means that we got our Y intercept. Which has a form of x equals 0, so 0.36. And that's it. We have our answers. Let's label them and thank you for watching.

Let ƒ(x) = (x - 3) (x + 3)²f. State the x- and y-intercepts of the graph of ƒ.

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Let ƒ(x) = (x - 3) (x + 3)²

f. State the x- and y-intercepts of the graph of ƒ.