# Interactive Power Point on Functions

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Category: Education

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By: jm19 (114 month(s) ago)

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### Interactive Power PointBasic Functions in math- Secondary Education :

Interactive Power PointBasic Functions in math- Secondary Education Stephanie Barnard ED205-11 quit functions

### Slide 2:

I would use this to supplement the lesson. I would talk about each function more in-depth while going through the PowerPoint. This would also work as a quick review for students. quit functions

### Main Slide :

Main Slide Definition of a function Video about functions Examples of plots Examples of plots and equations that are not functions Examples of equations that are functions quit functions

### Slide 4:

Check out this video, entitled “Introduction to Functions.” http://www.youtube.com/watch?v=VhokQhjl5t0 quit functions

### Definition of a function :

Definition of a function “A function is a set of ordered pairs (x,y) in which each value of x is paired with exactly one value in y” FST book For each (x,y) there is only one y value that corresponds to each x value. quit functions

### Examples of Functions :

Examples of Functions F(x)= 2x F(x)=x+5 f(x)= x^2 F(x)= √x F(x)= log(x) F(x)= 2^x f(x)= 3 F(x)= cos(x) F(x)=sin(x) F(x)=tan(x) F(x)= 1/x F(x)= 1/x^2 quit functions

### Tangent functions :

Tangent functions Cos(x)=y Sin(x)=y Tan(x)=y Periodic functions repeat themselves. Sine’s and cosine’s period is 2π Tangent’s period is π quit functions

### cosine :

cosine quit functions Tangent functions

### sine :

sine quit functions Tangent functions

### tangent :

tangent The vertical lines do not exist, the computer can not plot graphs with asymptotes. quit functions Tangent functions

### Logarithmic functions :

Logarithmic functions Log(x)=y means 10^y=x Ln(x)=y means e^y=x quit functions

### Log(x) :

Log(x) quit functions Logarithmic functions

### Ln(x) :

Ln(x) quit functions Logarithmic functions

### constant :

constant F(x)=y=k, where k is any real number. For al inputs, the output is always k. F(x)=2 F(x)=-2 quit functions

### Exponential :

Exponential In the form of y=a*b^x, where a and b are real numbers. The y-intercept is a. Y=2^x Y= 5*3^x Y=-2*2^x Y=5*-2^x quit functions

### Y=5*-2^x :

Y=5*-2^x quit functions Exponential functions

### Y=-2*2^x :

Y=-2*2^x quit functions Exponential functions

### Y= 5*3^x :

Y= 5*3^x quit functions Exponential functions

### Y=2^x :

Y=2^x quit functions Exponential functions

quadratic In the form of y=a*x^b Y=X^2 y=x^(-1)= 1/x Y=-2*x^5 y=x^(-2)=1/(x^2) Y=x^3 Y=x^(1/2) If b is even then it looks similar to x^2. Where the graph is a parabola. If a is positive it opens up, if a is negative then it opens down. If b is odd then it take on a quit functions

### Y=√x= x^(1/2) :

Y=√x= x^(1/2) Y=√x is also a quadratic because √x = x^(1/2) quit functions Quadratic functions

### Linear functions :

Linear functions In the form of f(x)=y=ax+b, where a and b are real numbers. The y intercept is b. the x intercept is –b/a Y=2x Y=x+5 Y=-5x-3 quit quit functions

### Y=2x :

Y=2x quit quit functions Linear functions

### Y=x+5 :

Y=x+5 quit quit functions Linear functions

### Y=-5x-3 :

Y=-5x-3 quit quit functions Linear functions

### Graphs for functions :

Graphs for functions quit quit functions

### Examples of graphs and equations that are not functions :

Examples of graphs and equations that are not functions y^2=x X=3 X^2+y^2=1 quit quit functions

### Resources :

Resources Pictures: http://www.wolframalpha.com/ video: http://www.youtube.com/watch?v=VhokQhjl5t0 Text: Senk, Sharon, ed. Functions, Statistics, and Trigonometry. Second Edition. The University of Chicago School Mathematics Project. Glenview Illinois: Addison Wesley Longman: 1998. quit quit functions

### Author’s Slide :

Author’s Slide Stephanie Barnard I am a mathematics with an emphasis in secondary education major at Grand Valley State University. Click to Email me quit quit functions 