Pre-Algebra
Semester A
Unit 2
Functions Quiz
1. Express the relation as a table and as a graph. Then determine the domain and range.
[(-1, 1.5), (2, -4), (3, 2.5), (4, -1.5)]
X
Y
2. Solve the equation if the domain is {-2, -1, 0, 1, 2}: 2𝑥 − 2𝑦 = 6
3. Graph the equation: 6𝑥 − 2𝑦 = 8
4. If 𝑓(𝑥) = −3𝑥 + 4 and 𝑔(𝑥) = 2𝑥 + 2, find the value of each:
a) 𝑓(−1)
1
b) 𝑔( 4 )
5. To determine the perimeter of P of a rectangle, the equation 𝑃 = 2𝑤 + 2𝑙, where w is the
width and l is the length, can be used. Suppose a rectangle has a perimeter of 64 inches. Find the
possible dimensions of the rectangle given the domain values [3, 6, 7, 10].
6. Your family drives for 30 min to get to a restaurant. You stay for 60 min. Then your family
starts driving home. After 15 min, you stop at a store for 30 min. Then you drive rest of the way
home in 15 min. Sketch and label a graph showing your distance from home during your trip.
7. A cyclist has a goal of riding 300 mi each month. The function 𝑚 = 300 − 10𝑑 represents the
number of miles the cyclist needs to ride to reach her goal after riding 10 mi on each of d days.
Make a table and graph the function.
X
Y
8. Which ordered pairs are solutions of the equation?
3𝑥 − 6 = 7𝑦
a) (4, 3) b) (1, 0) c) (2, 3) d) (5, 3)
9. Explain how you know an equation is a function.
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10. Determine which of the following graphs is a function.
EXTRA CREDIT REVIEW PROBLEM
What is (𝟗. 𝟕 × 𝟏𝟎−𝟓 )(𝟕. 𝟖 × 𝟏𝟎𝟓 )(𝟑. 𝟑 × 𝟏𝟎𝟏𝟎 )?