University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

269

Pages:

4
Author:

ncshillajjp

7.2B Worksheet Piecewise Functions Name: Answer k eu Algebra 2 Part 1. Carefully graph each of the following. Identify whether or not the graph is a function. Then, evaluate the graph at any specified domain value. f(x) = x + 5 x < - 2; x ^ 2 + 2x + 3 x >= - 2 Function Yes or No f(3) = 18 f(- 4) =| f(- 2) = 3 (x + 5)/(- 2, 3) 0 x ^ 2 + 2x + 3 (-2,3). (-4,1) (- 1, 2) aligned ( 0 &1&3)\\ (1&6)\\ 2&2&1 matrix 2. f(x) = 2x + 1 x' >= 1; x ^ 2 + 3 x < 1 Function Yes or No f(- 2) = 7 f(6) = 13 f(1) = 3 2x + 1 x ^ 2 + 3 (1,3) (1,4) (2,5) (0,3) (3,7) (14) (-2,7) 4 3. F(x) = - 2x + 1 x <= 2; 5x - 4 x > 2 Function? Yes or No f(- 4) = 9 f(8) = 36 f(2) = - 3 - 2x + 1 (2,-3) 5x + 4 (2, 6) 0 (1, - 1) ( 4. f(x)=\ [[x ^ 2 - 1, x <= 0], [2x - 1, 0 < x <= 5], [3, x > 5]] Function? Yes or No f(- 2) = 3 f(5) = 9 f(0) = - 1 (x ^ 2 - 1)/(0, - 1) 0 2x - 1 (1, 1) (5,9). 3 (-2,3) (3,5) (5,3) 0 (6,3) (7,3) (-3,8) 5. F(x) = x ^ z x <= 0; - x ^ z + 4 x > 0 Function? Yes or No f(- 4) = 16 f(0) = 0 f(3) = - 5 x² - X ^ 2 + 4 (0,0) (0,4) 0 (11) (1,3) (2,4) (2,0) (-3,9) (3,5) 6. f(x) = 5 x <= - 3; - 2x - 3 x > - 3 Function? Yes or No f(- 4) = f(0) = f(3) = 5 -2x-3 (- 3, 5) (3,3) 0 (- 4, 5) (-2,1) ( (-1,-1) Part II. Write equations for the piecewise functions whose graphs are shown below. Assume that the units are 1 for every tick mark. 7. 8. f(x) = x x <= 0; 2x x > 0 f(x)= . x + 5 &x<-2\\ -2&x>=-2 9. 4 10. f(x)=xx+2&x>=-1\\ x+3& 0 - 1 < x < 1 \\ x+1&x>=1 f(x) = 3x + 10 x <= - 2; 4 - 2 < x < 2; - 3x + 10 x >= 2 f(x)= [[1, 0, 0 <= x < 2], [3, 0, 0]] -2<= x<4 matrix