Unit 5, Lesson 8

Scaling the Outputs

Integrated Math 3

Practice

1. Problem 1

   Student Task Statement

   In each pair of graphs shown here, the values of function are the values of function multiplied by a scale factor. Express in terms of using function notation.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 5 to 25 by 5’s. Vertical y axis from negative 140 to 20 by 20’s. Function y equals f of x starts in Quadrant 2, decreasing, passing through 0 comma 0 until 11 comma negative 121, then increasing passing through 20 comma negative 40. Function g of x starts in Quadrant 2, decreasing, passing through 0 comma 0 until 11 comma negative 55, then increasing.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 2 to 4, by 1’s. Vertical y axis from negative 20 to 10, by 5’s. Y equals f of x, dotted line, passes through negative 0 point 5 comma negative 15, 0 comma 8 and 1 point 5 comma 0. Y equals g of x, solid, passes through 0 comma negative 13 point 6 and 1 point 5 comma 0.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 4 to 4, by 4’s. Vertical y axis from negative 80 to 4, by 20’s. Y equals f of x, dotted, sine curve, passes through negative 5 comma 0, negative 2 comma 0, 0 comma negative 50, and 5 comma 0. Y equals g of x, solid, sine curve, passes through negative 5 comma 0, negative 2 comma 0, o comma negative 12 point 5, and 5 comma 0.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 4 to 6, by 1’s. Vertical y axis from negative 4 to 6, by 1’s. Y equals f of x, dotted, linear and decreasing from negative 3 comma 3 until 0 comma 0, then linear and increasing through 6 comma 6. Y equals g of x, solid, linear and increasing from negative 4 comma negative 1 until 0 comma 0, then linear and decreasing through 6 comma negative 1 point 5.