Evaluating Functions from Graphs

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 read a graph to evaluate a function?

Back

To read a graph, locate the input value on the x-axis, then find the corresponding output value on the y-axis.

Front

What is the notation for a function?

Back

The notation for a function is typically f(x), where 'f' is the function name and 'x' is the input variable.

Front

If f(2) = 10, what does this mean?

Back

This means that when the input value is 2, the output value of the function f is 10.

Front

How can you find f(x) when given a specific x value?

Back

You can find f(x) by substituting the specific x value into the function's equation or by using the graph to locate the corresponding output.

Front

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

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the input value(s) for which the output value is zero.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the output value when the input value is zero.

Front

How do you determine the output value from a graph?

Back

To determine the output value, find the input value on the x-axis, then move vertically to the graph to find the corresponding y value.

Front

What does it mean if f(x) = -2?

Back

It means that the output value of the function f is -2 for a specific input value x.