What are the four different types of functions we have learned about? Comparing Functions What are the four different types of functions we have learned about? 1. (hint: makes a line) 2. (hint: makes a parabola) 3. (hint: makes a “v” shape) 4. (hint: growth and decay)

Comparing Functions

We have learned about 4 main types of functions this year… Comparing Functions We have learned about 4 main types of functions this year… Linear Exponential Standard Form Slope Intercept Form Quadratic Absolute Value Standard Form Vertex Form

What to Look for… Linear x is to the 1st power y is to the 1st power NO Exponents!

What to Look for… Quadratic x is always squared: 𝑥 2 (degree of 2) y is NOT squared (degree 1)

What to Look for… Absolute Value There are absolute value bars. x is inside the absolute value bars. y is NOT inside the absolute value bars.

What to Look for… Exponential x is in the exponent position y is NOT in the exponent position

Comparing Functions Identify each function as linear, quadratic, absolute value, or exponential.

Comparing Functions Identify each function as linear, quadratic, absolute value, or exponential.

Comparing Functions Another way to determine the type of function is to look at patterns in data (x-y charts) NOTE: you must make sure the x-values are increasing by the same number FIRST!

Comparing Functions Linear X 1 2 3 4 5 6 Y -4 -2 1st make sure the x-values increase by the same value y-values will increase/decrease by the same value

Comparing Functions Exponential 2 4 6 8 10 12 Y 1 16 64 256 1024 1st make sure the x-values increase by the same value y-values are multiplied or divided by the same number each time

Comparing Functions Absolute Value X -4 -3 -2 -1 Y 15 11 7 1st make sure the x-values increase by the same value y-values will decrease by the same amount going one way, and then increase by the same amount going the other way two slopes that are opposite, meet at the vertex

Comparing Functions Quadratic X -4 -3 -2 -1 Y 23 11 7 1st make sure the x-values increase by the same value there is an underlying pattern between the second differences y-values go up and then down (or down and then up), and has a vertex

Comparing Functions Identify each function as linear, quadratic, absolute value, or exponential. X -2 -1 1 2 Y 27 9 3 1/3 X -2 -1 1 2 Y 4

Comparing Functions Identify each function as linear, quadratic, absolute value, or exponential. X -2 -1 1 2 Y 4 6 8 10 12 X -2 -1 1 2 Y 7 5 3

Comparing Functions Identify each function as linear, quadratic, absolute value, or exponential. X 1 3 4 6 Y 12 16 24

Comparing Functions If all else fails, and you don't remember the rules when taking the EOC, SKETCH A GRAPH on your graph paper.