Evaluating Functions From a Graph

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 f(x) represent in function notation?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function from a graph?

Back

To evaluate a function from a graph, locate the x-value on the horizontal axis, then find the corresponding y-value on the vertical axis.

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

How do you find f(-2) from a graph?

Back

Locate -2 on the x-axis, then find the corresponding y-value on the graph.

Front

What does it mean if f(x) = k for some constant k?

Back

It means that the output of the function f for the input x is equal to the constant k.

Front

What is the significance of the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when f(x) = 0.

Front

What is the significance of the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of f(x) when x = 0.

Front

How can you determine if a function is increasing or decreasing from its graph?

Back

A function is increasing if the graph rises as you move from left to right, and decreasing if it falls.