Unit 6, Lesson 10

Combining Functions

Algebra 2

Practice

1. Problem 1

   Student Task Statement

   Sketch the graph of the function defined by the sum of function and each of these functions.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 10 to 8, by 2’s. Vertical y axis from negative 10 to 8, by 2’s. Function y equals f of x, non linear function, runs near x axis in quadrant 2, passes through 0 comma 1, 1 comma 2, 2 comma 4, and 3 comma 8. Function y equals a of x, horizontal line, passes through negative 10 comma 3, 0 comma 3, and 8 comma 3.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 10 to 8, by 2’s. Vertical y axis from negative 10 to 8, by 2’s. Function y equals f of x, non linear function, runs near x axis in quadrant 2, passes through 0 comma 1, 1 comma 2, 2 comma 4, and 3 comma 8. Function y equals b of x, linear, passing through negative 8 comma negative 8, 0 comma 0, and 8 comma 8.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 10 to 8, by 2’s. Vertical y axis from negative 10 to 8, by 2’s. Function y equals f of x, non linear function, runs near x axis in quadrant 2, passes through 0 comma 1, 1 comma 2, 2 comma 4, and 3 comma 8. Function y equals c of x, non linear, passes through negative 6 comma 9, negative 4 comma 4, 0 comma 0, 4 comma 4 and 6 comma 8.

   

   Graph of 2 functions on grid. Horizontal x axis from negative 10 to 8, by 2’s. Vertical y axis from negative 10 to 8, by 2’s. Function y equals f of x, non linear function, runs near x axis in quadrant 2, passes through 0 comma 1, 1 comma 2, 2 comma 4, and 3 comma 8. Function y equals d of x, non linear, runs near x axis in quadrant 3, passes through 0 comma negative 1, 1 comma negative 2, 2 comma negative 4, 3 comma negative 8.