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by: Cassandra F.

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# College Algebra 1.4 Notes MAC1105

Cassandra F.
USF

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COURSE
College Algebra
PROF.
Mr. Rothstein
TYPE
Class Notes
PAGES
7
WORDS
CONCEPTS
functions, Math, Algebra, intercepts
KARMA
25 ?

## Popular in College Algebra

This 7 page Class Notes was uploaded by Cassandra F. on Sunday September 4, 2016. The Class Notes belongs to MAC1105 at University of South Florida taught by Mr. Rothstein in Fall 2016. Since its upload, it has received 76 views. For similar materials see College Algebra in College Algebra at University of South Florida.

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Date Created: 09/04/16
1.4 Determine if function is even, odd, or neither. To ﬁgure this out, replace x with -x and then compare your results by looking at the following... • If f(-x) = f(x) then function is even • If f(-x) = -f(x) then function is odd • If f(-x) = f(x) and f(-x) = -f(x) then it's neither Find the intervals over which the function is increasing, decreasing, or constant. 1. Graph the function a. The function is not increasing. b. The function is decreasing on c. The function is not constant anywhere Find the intervals over which the function is increasing, decreasing, or constant. 1. Graph the function a. The function is increasing on b. The function is not decreasing anywhere. c. The function is not constant anywhere. The table is a representation of f. Decide if f is even, odd, or neither. Remember... Even: f(-x) = f(x) Odd: f(-x) = -f(x) 1. Let's take a look at f(100).... 3. This means that f(-x) = f(x) according to the table f(100) is 35. f(-100) and f(100) are both 35. 2. When you look at f(-100) it is also 35. 4. The function is even. Determine if function is even, odd, or neither. 1. Just replace x with -x 2. Simplify. The function is Odd Use the graph to find each of the following: a. Domain and Range b. Intercepts c. Intervals on which function is increasing, decreasing, or constant. d. Whether function is even, odd, or neither. When ﬁnding domain, pay attention to the x's used in the graph. The graph starts at the x value -1 and ends with x value 9. For range, pay attention to the y's used in the graph. It starts at y value -2 and ends at y value 1. 1. Start by ﬁnding the slope of (-1,-2) and (4,1) because that line has the intercepts. 2. Now use point-slope form to ﬁnd the equation of the line. 3. The y-int is 4. To ﬁnd x-int set y=o 5. The x-int is Tip: Focus on x-values to ﬁnd where the graph is increasing Tip: Focus on x-values to ﬁnd where the graph is constant The function is neither because the graph is not symmetric with respect to the y-axis or the origin. Use the graph to find... a. Intercepts b. Domain and Range c. Intervals on which it's increasing, decreasing, or constant d. Even, odd, or neither? Look at the x-axis on the graph. The outer points shown do not pass -3 and 3 on the x-axis. Look at the y-axis. The highest and lowest points shown on the graph don't go lower than 0 or higher than 3. Focus on the x values of the graph Focus on the x values of the graph Even: When graph is symmetric in respect to y-axis Odd: When graph is symmetric in respect to origin The function of the graph is Even.

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