Unit 8, Lesson 5
Using Function Notation to Describe Rules (Part 2)
Integrated Math 1
Practice
Problem 1
The cell phone plan from Company C costs \$10 per month, plus \$15 per gigabyte of data used. The plan from Company D costs \$80 per month, with unlimited data.
Rule \(C\) gives the monthly cost, in dollars, of using \(g\) gigabytes of data on Company C’s plan. Rule \(D\) gives the monthly cost, in dollars, of using \(g\) gigabytes of data on Company D’s plan.
- Write a sentence describing the meaning of the statement \(C(2) = 40\).
- Which is less, \(C(4)\) or \(D(4)\)? What does this mean for the two phone plans?
- Which is less, \(C(5)\) or \(D(5)\)? Explain how you know.
- For what number \(g\) is \(C(g) = 130\)?
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Draw the graph of each function.
Problem 2
Function \(g\) is represented by the graph.
For what input value or values is \(g(x)=4\)?
Parabola on coordinate grid, Origin O. X axis from negative 6 to 6 by 2’s. Y axis from negative 4 to 16 by 4’s. Parabola passes through negative 4 comma 16, negative 2 comma 4, 0 comma 0, 2 comma 4, and 4 comma 16.