Evaluating Functions from a Graph or Equation

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 for a given input by substituting the input into the function's equation.

Front

How do you find the value of w(x) = 3x - 7 when w(x) = 14?

Back

Set 3x - 7 = 14, solve for x: 3x = 21, x = 7.

Front

What is f(9) if f(x) = x - 5?

Back

f(9) = 9 - 5 = 4.

Front

Using a graph, how do you find f(8)?

Back

Locate x = 8 on the graph and read the corresponding y-value.

Front

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

Back

f(-2) = (-2)^2 - 4 = 0.

Front

How do you evaluate f(2) if f(x) = 2x + 4?

Back

f(2) = 2(2) + 4 = 8.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

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