U7 Study Guide

Solving

100

Question 2b

-1/2 and 1/2

200

Question 3a

x<4 and x>0

Graph: open circles at 0 and 4 and shaded in between

300

Question 3b

x greater than or equal to 2 or x less than or equal to 1/2

Graph: Closed circles.  Shading left from 1/2 and shading right from 2

400

Question 3c

x<-1 or x>5/3

Graph: Open circles.  Shading left from -1 and shading right from 5/3

500

Question 3d

x greater than or equal to -5 and x less than or equal to 5

Graph: Closed circles at -5 and 5 and shaded in between

Simplifying and Systems

100

Question 1a

11

200

Question 1b

1

300

Question 1c 

4

400

Question 4

(2, -6)

500

Question 5

(0, -2)

Key Features

100

Question 6 Domain to y-intercept

Domain: (-inf, inf)

Range: [-2, inf)

x-intercepts: (2, 0) and (4, 0)

y-intercept: (0, 4)

200

Question 6: Interval of increase to the end of question

Interval of Increase: (3, inf)

Interval of Decrease: (-inf, 3)

Vertex: (3, -2)

A of S: x=3

f(4)= 0

f(x)=2 at x = 1 and 5

300

Question 7 Domain to y - intercept

Domain: (-inf, inf)

Range: (-inf, 3]

x-intercepts: (-2, 0) and (4, 0)

y-intercept: (0, 2)

400

Question 7 Interval of increase to the end of the question

Interval of Increase: (-inf, 1)

Interval of Decrease: (1, inf)

Vertex: (1, 3)

A of S: x=1

f(-4)= -2

f(x)=1 for x = -1 and 3

Transformations

100

Question 9a

g(x)=2abs(x-3)

Other answers exist.

200

Question 9b

g(x)= 1/2abs(x)+8

Other answers exist.

300

Question 10 w(x)

Vertical stretch

Horizontal translation left 1

400

Question 10 g(x)

Reflection over x-axis

Horizontal translation right 5

Vertical translation up 7

500

Question 10 h(x)

Vertical compression

Vertical translation down 6

Factoring

100

Question 11a

(3x+5)(x-2)

200

Question 11b

-5(b-1)(b-4)

300

Question 11c

(x-2)(x+7)

400

Question 11d

(x+3)(x-3)