UNIT 2 INDICATOR PRACTICE PROBLEMS
4-1 Practice Problems – Using Graphs to Relate Two Quantities (Indicator 4)
1. Identify the dependent and independent variables. Describe how the variables are related at various points on the graph.
Match the graph with its related table. Explain your answers.
2.
A.
B.
C.
Sketch a graph to represent the situation. Label each section.
3. The average temperature steadily decreases over the course of the football season.
4. You buy 2 shirts and the third one is free.
5. The average test score of the class increased throughout the semester until it decreased slightly on the last test.
4-2 Practice Problems – Patterns and Linear Functions (Indicator 4)
For the diagram, find the relationship between the number of shapes and the perimeter of the figure they
form. Represent this relationship using a table, words, and a graph.
1.
For each table, determine whether the relationship is a function. Then represent the relationship
using words and a graph.
2.
3.
4.
5. Reasoning Graph the set of ordered pairs (0, 2), (1, 4), (2, 6), (3, 8). Determine whether the relationship is a linear function.
Explain how you know.
4-4 Practice Problems – Graphing a Function Rule (Indicator 5)
Graph each function rule.
1. y=4+x
2. y=|x| - 2
Tell whether the graph is continuous or discrete.
3. A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year.
This situation is represented by the function rule S=35,000+0.10 k.
4. The cost C, in dollars, for football tickets depends on how many you need. This situation is represented by the
function rule C = 87t.
4-5 Practice Problems – Writing a Function Rule (Indicator 5)
Write a function rule that represents each sentence.
1. P is 9 more than half of q.
2. A babysitter’s earnings e are a function of the number of hours n worked at a rate of $7.25 per hour.
3. José is 3 years younger than 3 times his brother’s age. Write a rule that represents José’s age j as a function of his
brother’s age b. How old is José if his brother is 5?
4. Write a function rule for the area of a rectangle with a length 3 ft more than two times its width. What is
the area of the rectangle when its width is 4 ft?
5. Explain whether or not the relationship between inches and feet represents a function.
4-6 Practice Problems – Formalizing Relations and Functions (Indicator 6)
1. Identify the domain and range of the relation. Use a mapping diagram to determine whether the relation is
a function.
{(3, 6), (5, 7), (7, 7) (8, 9)}
2. Use the vertical line test to determine whether the relation is a function.
3. Find the range of the function for the given domain.
f (x) = –3x + 2; {–2, –1, 0, 1, 2}
4. The function w(x) = 60x represents the number of words w(x) you can type in x minutes. How many words can you type in 9
minutes?
5. A high school is having a pancake breakfast fundraiser. They have 3 packages of pancake mix that each feed 90 people.
The function N(p) = 90p represents the number of people N(p) that p packages of pancake mix feed. Find a reasonable
domain and range for the function. Then graph the function.
4-7 Practice Problems – Arithmetic Sequences (Indicator 7)
1. Describe the pattern in the sequence. Then find the next two terms of the sequence.
7, 11, 15, 19, …
2. Tell whether the sequence is arithmetic. If it is, identify the common difference.
4, 8, 16, 32, …
3. You start a savings account with $200 and save $30 each month. Write a rule to represent the amount of money
you invest into your savings account as an arithmetic sequence. How much money will you have invested after 12
months?
4. Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n) = –2 + (n – 1)(5)
5. Write an explicit formula for the arithmetic sequence whose common difference is –2.5.
4-3 Practice Problems – Patterns and Nonlinear Functions (Indicator 8)
1. A student’s earnings E, in dollars, is a function of the number h of hours worked. Graph the function
shown by the table. Tell whether the function is linear or nonlinear.
Identify what type of nonlinear function is pictured below.
2.
3.
4.
5.
Notes Piecewise and Step Functions (Indicator 8)
1. Determine the requested values using the graph.
f(-2) =
f(0) =
f(2) =
2. Using the given function, determine the value of f(6).
Match the graph of the step function with its algebraic representation.
3.
4.
5.
A.
B.
5-8 Practice Problems- Graphing Absolute Value Functions (Indicator 8)
Graph each function by translating y = |x|.
1. y = |x| + 4
2. y = |x| - 3
3. y = |x + 2|
Write an equation for each translation of y = |x|.
4. down 2 units
5. right 6 units
C.