RELATIONS AND FUNCTIONS: OPERATIONS

Given the function, , calculate the average rate of change between x=6 and x=13. Average rate of change =

1/7

Given the functions, f(x) = 3x2 - 7 and g(x) = x3 + 1, evaluate f(g(2)).

236

Given the functions, f(x) = 3x - 6 and g(x) = x2 + 5x + 7, perform the indicated operation. When applicable, state the domain restriction. f(g(x))

3x2 + 15x + 15

Given the functions, f(x) = 5x2 - 3x + 1 and g(x) = 2x2 + x - 2, perform the indicated operation. When applicable, state the domain restriction. (f - g)(x)

3x2 - 4x + 3

Given the function, f(x) = 2x2 - x + 1, calculate the average rate of change of the function from x = 1 to x = 3.

7

Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1

7/12

Which of the following mathematical operations can be used with functions? Select all that apply.

Addition Subtraction Multiplication Division Composition

Given the functions, f(x) = x3 + 2 and g(x) = x - 9, perform the indicated operation. When applicable, state the domain restriction.

C

Given the functions, f(x) = x3 + x2 + 1 and g(x) = -6x2 + 2, perform the indicated operations. When applicable, state the domain restriction. (f + g)(x)

x3 - 5x2 + 3

Given the functions, f(x) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain restriction. (fg)(x)

x3 - 7x2 - 9x + 8