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Maricris T.

Calculus 1 / AB

6 days, 4 hours ago

$$ f(x)=2-x^{3} $$$$ f(x)=2-x^{3} $$

Chapter 1

Precalculus Review

Section 1

Real Numbers, Functions and Graphs

for this question we have the following function half of x Ball 2 to- Execute. And our goal is to find the zeros of this function where this function is equal to zero. And then also sketch the function itself. So to find the zeros, let's first just set this function equals zero, so zero is equal to minus execute. And then we'll solve for X by moving high Steelers side to cancel out the negative. So add execute Both sides again, execute the two, we take the cube root of execute and then we find that X is equal to cube groups of two. Now, since this is a cute group, you won't have any plus or minus things in the front that he would for a square since it's cute and the cubes would end up canceling that sign anyway. All right. So your answer for X. X will be equal to that and that will be where the function is equal to zero. So that's your zero right here. And then to sketch this strong he X. Y. Access why X. And that's so we know in this function that if you remember what execute looks like it's sort of like this shape and the only difference between or that's this is negative execute in a graph, execute will be the other way like that. So the only difference between this negative execute graph and two minus X acute graft is that this Function here, FFX is equal to minus, execute is shifted up two units so you just move that on up two units like salt and the graph would sort of look like this and cross through that point right here At X is equal to Q. Group of two Which is R. zero. So this is our sketch and then this is our zero here.

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