1. Functions LINEAR AND NON LINEAR

2. Linear function What is the function that states that the range values are 2 more than the domain values?  f(x) = x + 2 2 xf(x) = x + 2 1 02 13... Linear function – graph is a straight line

3. Linear function What is the function that states that the range values are 1 less than twice the domain values?  f(x) = 2x - 1 3 xf(x) = x + 2 -3 0 11... Linear function – graph is a straight line

4. Linear function Which of the following equations represents the graph of this function? How do you know? 1. f(x) = 3x – 2 2. f(x) = -2x + 3 3. f (x) =  2. f(x) = -2x + 3 It matches the coordinates if they are put into a table 4

5. Non-Linear function What is the function that states that the range values are the squares of the domain values?  f(x) = x 2 5 x f(x) -2 1 2 0 1 0 1 4 4 Non-Linear function – graph is not a straight line

6. Non-Linear function What is the function that states that the range values are two less than the square of the domain values?  f(x) = x 2 - 2 6 x f(x) -2 1 2 0 -2 2 2 Non-Linear function – graph is not a straight line

7. Non-Linear function What is the function states that the range values are one more than the additive inverse of the domain squared? f(x) = -(x 2 )+ 1 7 x f(x) -2 1 2 0 0 1 0 -3

8. Non-Linear function What is the function that states that its range values are the cubes of its domain values? f(x) = x 3 8 x f(x) -2 1 2 0 0 1 8 -8

9. Non-Linear function What is the function that states that the range values are the additive inverse of the cubes of the domain values? f(x) = -(x 3 ) 9 x f(x) -2 1 2 0 1 0 -8 8

10. Non-Linear function What is the function that states that the range values are 3 more than the cubes of its domain values? f(x) = x 3 +3 10 x f(x) -2 1 2 0 2 3 4 11 -5

11. Non-Linear function f(x) = 2 x 11 x f(x) -2 1 2 0 1/2 1 2 4 1/4

12. Non-Linear function f(x) = sin(x) 12 x f(x) -2 π -1/2π 0 -π -3/2π 1 0 0 0 1/2π 1 π 0 3/2π