Unit 3 Study Guide
Name ________________________
Functions and Graphing
1.
1
Graph the equation 𝑦 = − 3 𝑥 + 2 with domain {-6, -3, 0, 1} by
making a table of values.
x
y
Domain:__________________________________________
Range:___________________________________________
2. Determine whether each relation is a function.
a) {(-2,3), (4,7), (24,4), (5,4)} b) {(9,3), (8,2), (9,1), (3,4)}
__________________
_________________
______________
______________
1
3. Graph the equation 𝑦 = − 3 𝑥 + 2
m = ________ ; b = __________
4. Identify the slope and y-intercept
Write a rule for the graph.
b)
m= _____
b = ______
Equation:___________
c)
m= ______
b= _______
Equation:___________
Equation: ____________
m= _____
b= _____
5. If you added an ordered pair to the set below, which ordered pair would make the relation not a function
{(2, 11), (–9, 8), (14, 1), (5, 5)}
A. (8, –9)
B. (6, 11)
C. (0, 0)
D. (2, 18)
6. Is the ordered pair (7, 3) a solution of y = 3x – 12? Circle: YES or NO.
SHOW YOUR WORK below.
7. Does the point (–1,–1) lie on the line 4x – y = –3? Circle: YES or NO. SHOW YOUR WORK below.
For problems #8-11, use the information given to write an equation in slope-intercept form.
8.
9.
Equation: _________________________
10.
Equation:_____________________________
Equation:_______________________
11.
x
y
-2
-5
-1
-3
0
-1
1
1
Equation:__________________________
12. Which of the following relations has a range of { ̶ 4, ̶ 1, 0, 1} when x = ̶3, 0, 1, and 2?
F y=x ̶ 1
G y= ̶x ̶ 1
H y=
̶x+1
J y= x+1
13. The slope of a vertical line is _______________ while the slope of a horizontal line is _____________.
For #14-16, graph the following equations:
2
14. y = ‒ 5 x – 2
15. y = ‒x + 1
16.
17.
Which representation describes a different relation? _______________
18.
a)
b)
c)
d)
5
y=4x
19. What is the domain and range of the relation?
Domain:_________________________
Range:___________________________
20. The perimeter of a regular pentagon is 5 times the length of a side.
a) Identify the independent variable ________________________ (2)
b) Identify the dependent variable __________________________ (2)
c) Write the rule: _____________________________________________ (3)
d) Calculate the perimeter of a pentagon if the side is 1.8 inches.
Perimeter=_____________________ (3)
21. A car traveling 55 miles per hour goes 110 miles in 2 hours,
165 miles in 3 hours, and 220 miles in 4 hours as shown.
a) For every 1-hour increase in time, what is the change in
distance?
b) Find the slope of the line.
c) What does this slope actually mean in real life terms? _________________________________________