**Precalculus Even And Odd Functions Worksheet** – Even Functions An even function is a function f, even if the function is symmetric about the y-axis.

3 Odd Functions A function f, if, in other words, an odd function is a function equal to the original. A function must not be even or odd, it cannot be.

## Precalculus Even And Odd Functions Worksheet

If you are asked to show or prove that they are even or odd, you should show f(-x) and -f(x). A function cannot be arbitrary, so if it passes one test, you can conclude that another test will fail. If it is true, the function is even; if it is true, the function is odd

## Even And Odd Functions

If you are asked to show whether they are even or odd, you should show the function, not just look at the graph to see which function is not odd.

If you are asked to show whether they are even or odd, you must not only look at the graph but also show the function. An even function is an even function, not odd.

If you are asked to show whether they are even or odd, you must not only look at the graph but also show the Function Odd Function Function that is not Function odd.

16 Ascent To describe the range over which an ascending graph is ascending, give the x value at which the graph moves up as a point on the graph moves to the right.

## Precalculus Section 2.2 Polynomial Functions Of Higher Degrees

18 Decreasing To define a range where the graph is decreasing, give the x value at which the graph descends as a point on the graph moves to the right.

F(-2) = 6, f(-7) = -10 minimum at x = 6 is -2 minimum at x = -7 is -10

Give the number, if any, for which the ratio of f is a maximum. What are these relationships? Give the numbers for which f has the lowest correlation, if any. At least what are these relationships? c) How far does the graph extend? d) Where does the graph decrease?

Give the number, if any, for which the ratio of f is a maximum. What are these relationships? There is a relative maximum at x = 0. Let f(0)= 2.5 be the number where f is the minimum correlation, if any. At least what are these relationships? There is a relative minimum at x = 3. f(3) = -10 c) How far does the graph extend? d) Where does the graph decrease?

### Lesson Video: Even And Odd Functions

Range(s) where f increases the range(s) where f decreases the range(s) where f is a constant range(s) where f is positive range where f is negative 4 f(1) = ______ are the x values f(0) = f(x) = 0 A relative maximum of f(3)? Any relative minimum and the numbers at which they occur are 4 x = -5.4, -2 or 7. x = -4 is not a relative minimum, f(-4 )=-4 -5.4

These are all fields that tell us when to use each rule. These are the three rules that will give us the value of the function.

Delete the part of the chart that is not less than -1. In other words, place an open circle at -1 and subtract to the right of -1.

A subdomain of 47. Delete any part of the chart that falls outside this subdomain.

### Even And Odd Functions Worksheet With Answers Pdf Mathbits

In other words, place a strong point at -1 and delete the one to its left. Also, place a straight point on 1 and delete to the right.

The subdomain of the third rule is x>1. Therefore, we only want the graph to the right of x = 1. Normally we would place an open point on the graph at x = 1, but it already overlaps the end point of another solid graph, so we delete the left side of x = 1.

We log and share user data with processors to operate this website. To use this website, you must accept our privacy policy, including its cookie policy. 2 N N E E V and E For equal functions, for every (x, y) point on the graph, there is also a (-x, y) point. The graph. That is, for a function, for every (x, y) point on the graph, there is also a (-x, -y) point on the graph. Copyright © 2013 Pearson Education, Inc. All rights reserved.

4 Determine whether each given graph is an even function, an odd function, or a function that is neither even nor odd. An even function because it is symmetric about the y-axis is neither even nor odd because there is no symmetry about the y-axis or the origin. odd function because it is symmetric about the origin. Copyright © 2013 Pearson Education, Inc. All rights reserved.

## Pre Calculus Terms Crossword

A smooth function is smooth about the y-axis, because the resulting function is not equal to f(x) or -f(x), the function is neither even nor odd, and neither the y-axis nor About the origin. is smooth. . Copyright © 2013 Pearson Education, Inc. All rights reserved.

Exercise: # 21. a.) Find the intersection b. Find the domain and range c.) where the graph is increasing, decreasing, continuous d.) even, odd, or none Copyright © 2013 Pearson Education, Inc. . All rights reserved

(f) List the decreasing intervals of f. Copyright © 2013 Pearson Education, Inc. All rights reserved.

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## Quiz & Worksheet

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