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 find the output value when a specific input value is substituted into the function.

Front

If f(x) = 2x + 3, what is f(1)?

Back

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

Front

What is the value of f(-5) if f(x) = -2x + 8?

Back

f(-5) = -2(-5) + 8 = 10 + 8 = 18.

Front

How do you find g(-5) if g(x) = 5 - 6x?

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What is the output of f(x) = x^2 when x = 4?

Back

f(4) = 4^2 = 16.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

Evaluate f(x) = -3x + 7 for f(-2).

Back

f(-2) = -3(-2) + 7 = 6 + 7 = 13.

Front

What is the value of k(4) if k(x) = 5x - 1?

Back

k(4) = 5(4) - 1 = 20 - 1 = 19.

Front

If f(x) = 3x - 4, what is f(0)?

Back

f(0) = 3(0) - 4 = -4.