Evaluating Functions from Graphs given input AND output

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 value.

Front

How do you find the output of a function for a specific input?

Back

Substitute the input value into the function's equation and simplify to find the output.

Front

What is the notation for a function?

Back

Functions are typically denoted as f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does f(x) = 7 mean?

Back

It means that the output of the function f for the input x is equal to 7.

Front

How do you find x when f(x) = a?

Back

You need to determine the input value(s) that produce the output 'a' by analyzing the function or its graph.

Front

What is the significance of the x-axis in a function graph?

Back

The x-axis represents the input values of the function.

Front

What is the significance of the y-axis in a function graph?

Back

The y-axis represents the output values of the function.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.