Unit 5 Multiple Representations of Functions Review
1.Below are congruent isosceles triangles arranged in a sequence to obtain a geometric pattern.
Write an expression that can be used to find the perimeter of a composite figure made up of t triangles arranged in this pattern. What would the perimeter be if there were 20 triangles?
2.Which set of numbers represents the sequence represented by:
4n+2
a. / 6, 12, 18, 24, 30 / c. / 10, 14, 18, 22, 26b. / 5, 9, 13, 17, 21 / d. / 6, 10, 14, 18, 22
3.Find the 20th term in the arithmetic sequence –4, 1, 6, 11, 16,...
4.Evaluate for f(4).
5.What is the range of the function when the domain is {-3,1,2}?
6.Mira bought a bus pass worth $15.00. If the cost of a bus ride to her weekly flute lesson is $2.50, which table best describes b, the balance remaining on the pass, after n trips to her flute lesson?
a. / / c. /b. / / d. /
7.Write a function rule for the table.
x / f(x)3 / 2
5 / 4
7 / 6
9 / 8
8.Which question could be answered using the information on the graph below?
a. / Carlos earns $3 for each delivery he makes. How much does he make after 5 deliveries.b. / Sandy received 30% off of a clothing purchase. How much does it take for him to walk 30 miles?
c. / Jonathan walks 3 miles a day. How many days does it take for him to walk 30 miles?
d. / Samantha works out 3 times more than her classmates. How many times does she work out in a week?
9.Yvette has a home-based business putting on children’s parties. She charges $55 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
10.Use the graph of the function to find the value of y when .
11.The temperature of air in a room that began at F is increasing by F per hour. Write a function that describes the temperature of the air over time. Graph the function to show the temperatures over the first 10 hours.
a. // c. /
b. /
/ d. /
12.Based on the relationship in problem 11, what would be the temperature in 12 hours?
13.The graph below shows 6 points that represent pairs of values for a function.
What value(s) are only used in the independent variable, but NOT used in the dependent variable?
14.Represent the following function as a graph, table, and set of ordered pairs, then write a verbal description for the function:
.
15.Vivian joins a gym for a one-time membership fee of $20. Each time she visits the gym, she pays an additional $3. The function below represents c, the total cost for Vivian to visit the gym n times.
What will be the total cost for Vivian to visit the gym 16 times?
16.Mrs. Dazey asked her students to identify the range represented by the function graphed below.
Which of the following student responses is correct?
a. / / c. /b. / / d. /
17.Which inequality best describes the range of the function represented by this graph?
a. / / c. /b. / / d. /
18.Which value of x is in the solution set of the inequality ?
a. / 3 / c. / -3b. / 0 / d. / -6
19.The sum of three consecutive integers is 114. What is the largest of the three integers?
a. / 37 / c. / 39b. / 38 / d. / 40
20.Vanessa is making and selling mums for Homecoming. She sells each mum for $127. Vanessa pays $2847 for supplies and makes a profit of $4392. Which equations could be used to find m, the number of mums she sells?
a. / / c. /b. / / d. /