2.4 - Library of Functions

Question 1

f(x) = x

Answer 1

5 key points:

(0,0) (1,1) (-1,-1) (2,2) (-2,-2)

Question 2

f(x) = lxl

Answer 2

5 key points:

(0,0) (1,1) (-1, 1) (2,2) (-2,2)

Question 3

f(x) = x^3

Answer 3

5 key points:

(0,0) (1,1) (-1,-1) (2,8) (-2,-8)

Question 4

f(x) = x^2

Answer 4

5 key points:

(0,0) (1,1) (-1,1) (2,4) (-2,4)

Question 5

f(x) = ³√x

Answer 5

5 key points:

(0,0) (1,1) (-1,-1) (8,2) (-8,-2)

Question 6

f(x) = √x

Answer 6

3 key points:

(0,0) (1,1) (4,2)

Question 7

f(x) = 1/x

Answer 7

2 key points + asymptotes:

(1,1) (-1,-1)

x=0, y=0

Question 8

f(x) = 1/x^2

Answer 8

2 key points + asymptotes:

(1,1) (-1,1)

x=0, y=0