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Determine the zeros and then, using the sign of the function, draw its sketch.$$f(x)=x \sqrt{1-x}$$

$$0,1$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

McMaster University

Harvey Mudd College

Idaho State University

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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find the zeros of $f(x)$ a…

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find the zeros of the func…

know that there is a square root here. So the pervert under the square root must be positive. And it has Jemayel of this function is that X is smaller the ICO to one and this equation has to solutions which are X equals zero and X equals one. This graph is the above function depicted by the programming language python. Since the second term is a square root, it must be positive and therefore, the sign off this whole function on it depends on the first apart when X is smaller than zero, the first part is negative. Enhance the sign off. The whole function is also negative. When X is between their role and one, the first part is positive enhance the sign off. The whole function is also positive. So the analysis is consistent with the graph with depicted here.

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