Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input is substituted into the function.

Front

If f(x) = x - 2, what is f(-7)?

Back

f(-7) = -7 - 2 = -9.

Front

If k(d) = 18d - 5, what is k(-2)?

Back

k(-2) = 18(-2) - 5 = -36 - 5 = -41.

Front

For the function g(m) = 17 - 2.5m, what is g(5)?

Back

g(5) = 17 - 2.5(5) = 17 - 12.5 = 4.5.

Front

If f(x) = x + 4, what is f(3)?

Back

f(3) = 3 + 4 = 7.

Front

For the function w(m) = 7 + 3m, what is w(12)?

Back

w(12) = 7 + 3(12) = 7 + 36 = 43.

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function f(x) = 2x + 3?

Back

The slope (m) is 2.

Front

What is the y-intercept of the function f(x) = -x + 5?

Back

The y-intercept (b) is 5.