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In Exercises 59-64, use a graphing utility to graph the quadratic function. Find the -intercepts of the graph and compare them with the solutions of the corresponding quadratic equation when $ f(x) = 0 $.

$ f(x) = -2x^2 + 10x $

$(0,0),(5,0)$

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

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In mathematics, the absolu…

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In Exercises 59-64, use a …

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In Exercises 57-68, use a …

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In Exercises $79-84,$ find…

So here. Let's go out and graft this function F and a different window. So here's F and here's the graph. And just by looking at the graph, it looks like the ex intercepts or zero and five. Now let's verify this algebraic lee. So X intercepts you get by solving this equation here so well said this equal to zero many ways to solve this one way usages. Fact throughout the eggs was maybe pull out a two x here, and we're dealing with real number. So if you multiply and get zero, this means two X is equal to zero or negative X plus five zero equivalently X equals zero or X equals five. And this verifies that ex intercepts are the points zero zero and five zero. And you could check this another way. If you plug in zero in for X for five and Franks, they'LL make f equals zero. So this is that algebraic confirmation of the ex intercepts

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