Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input.

Front

If f(x) = 2x + 5, what is f(0)?

Back

f(0) = 2(0) + 5 = 5.

Front

What is the formula for finding the sum of two functions f(n) and g(n)?

Back

The sum of two functions is given by (f + g)(n) = f(n) + g(n).

Front

Evaluate f(x) = -x - 3 for f(2).

Back

f(2) = -2 - 3 = -5.

Front

What is the output of the function f(x) = 2x + 5 when x = -3?

Back

f(-3) = 2(-3) + 5 = -6 + 5 = -1.

Front

If g(n) = 3n, what is g(4)?

Back

g(4) = 3(4) = 12.

Front

What is the value of f(-4) if f(x) = -2x + 13?

Back

f(-4) = -2(-4) + 13 = 8 + 13 = 21.

Front

How do you combine functions f(n) = 2n + 1 and g(n) = 3n?

Back

f(n) + g(n) = (2n + 1) + (3n) = 5n + 1.

Front

What is the output of f(x) = -x + 3 when x = 1?

Back

f(1) = -1 + 3 = 2.