Evaluating Function Graphs - Jones

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 a function?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

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

Back

The x-intercept is the point where the function crosses the x-axis, indicating where f(x) = 0.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the function crosses the y-axis, indicating the value of f(0).

Front

How do you find the value of x when f(x) = k?

Back

To find the value of x when f(x) = k, set the function equal to k and solve for x.

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function and is calculated as the change in y over the change in x.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, f(x) decreases.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.