Download Advanced Functions Review: Linear Functions Determine the slope

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Review: Linear Functions
Advanced Functions
Determine the slope of the line passing through each pair of points.
1. (4,3) & (-2,0)
2. (3/2, 1) & (-1/2, 2)
Given each of the following equations of a line, determine the slope.
3. 3x+6y = 12
4. y = -4x+1
Given two points on a line, find the slope of any line parallel to the given line and the
slope perpendicular to the given line
5. (4, 2) & (-3,-1)
Find the x and y-intercepts of the equations below.
𝑥
𝑦
6.
+ =1
−3
6
7. 2𝑥 + 3𝑦 = 9
Given an equation of a line, find the slope of any line parallel to the given line and the
slope of any line perpendicular to the given line.
8. 2x+5y = 9
Write an equation of each line described
9. with slope –4 and y-intercept 2
10. with no slope passing through (2, -5)
11. with slope 0 and passing through (2, -5)
12. passing through (1,3) and (-4, 3)
13. passing through (2,6) and parallel to x+3y = 6
14. passing through (-7, -2) and perpendicular to 2x+4y = 1
For each of the lines below, graph the equation of the line. Explain what happens when x
gets large and when x gets small. Determine the domain and range for the equations.
5
15. 𝑦 = − 𝑥 + 2
2
1
16. 𝑦 − 4 = (𝑥 + 2)
3
Graph the following piecewise functions. Determine the domain and range for the
equations.
3−𝑥
𝑥 ≥ −1
17. 𝑓 (𝑥 ) = � 1 𝑥 + 1
𝑥 < −1
2
4
18. 𝑔(𝑥 ) = �2 − 1 𝑥
2
𝑥>3
𝑥≤3
19. Determine the domain and range of the graphs below.
a.
c.
b.
d.
20. Given the parent function to the right, graph:
a. 𝑓(𝑥 + 3)
b. 𝑓(𝑥 ) − 2
c. 𝑓 (𝑥 − 1) + 4
Expect a word problem and a linear regression problem.