3. Fill in the blank. C(3) = Explain what both numbers in this statement mean. 4. Complete the blank. CC ) = 155. Explain what both numbers in this statement mean. 5. Explain the conditions for which the cost of this phone plan would be more than $140. 6. Write the question and the answer to Question 5 in symbols. 7. Find the x intercept for C (x) and describe if it has meaning in the context of the problem. 8. Find the y intercept for C (x) and describe if it has meaning in the context of the problem. 9. As the x (input) values increase from 0 to 1, the y (output) values change from to which is an increase of 10. As the x (input) values increase from 3 to 4, the y (output) values change from to , which is an increase of 11. Summarize what you observe about how the y values change compared to the x values. A good answer will include units.5-2 Group So far, we've looked at an example of a linear function. Linear functions are particularly convenient to work with because they're easy to recognize, both from the graph and from the equation. . All linear functions can be written in the form f(x) = mx + b where m and b are real number constants. . The graph of every linear function is a straight line. (Which explains why they're called linear functions.) 1. In the general form f(x) = mx + b, what letter represents the input of the function? What letter represents the output? In using function notation, math folks often use letters other than ffor the name of the function. Sometimes we use letters to help us remember what the function stands for. In the next function we study, we'll use the capital letter C to represent the cost of a mobile phone plan. The function C(x) = 15x + 80 represents the cost of a cell phone plan, where x represents the number of gigabytes the user goes over the 6 gigabyte data allowance. 2. Complete the table of ordered pairs, and use it to draw the graph of C(x). X C(x) O N W A 5