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Determine the zeros and then, using the sign of the function, draw its sketch.$$f(x)=\left(x^{3}-3 x^{2}\right)\left(4 x^{2}-9\right)$$

$$-3 / 2,0,3 / 2,3$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

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Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Determine the zeros and th…

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use a graph to find the ze…

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Use a graphing calculator …

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Graph $f$, and estimate it…

we can factor this agreeing toe. Four parts The first two purse came from the first term in the last two parts come from the second term and then it's easier for us to see that there are four solutions which are they're all three miners, 3/2 and three over to This is a graph of the above functioning depicted by the programming language pistol for ex smaller than manner. Three over to the first priority is positive and lots of three purse are all negative. Enhance their production is negative, which is consistent with a graph here for X between miners, 3/2 and spray over to. Except for the 0.0, the first term is positive. The second term is negative, the third term is positive and the fourth term is negative and Hance their production positive, which is also consistent with a graph here for X between three or two and three. The first term is positive. The second leg, a tive the 3rd and 4th positive enhance their production is negative, which are consistent with a graph off this part for X greater than three the first term as positive and in fact, all these four terms are positive. Enhance their production. It's positive and which is consistent with a part here

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