8.4 Multiple Representations of Functions

Front

What is a function?

Back

A function is a relationship 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 represent a function graphically?

Back

Representing a function graphically means plotting the input-output pairs on a coordinate plane, where the x-axis represents the input and the y-axis represents the output.

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

How can you represent a function using a table?

Back

A function can be represented using a table by listing pairs of input (x) and output (y) values that satisfy the function.

Front

What is the equation for Clare's pet grooming charges?

Back

Front

What does it mean to have a fixed amount added in a function?

Back

Having a fixed amount added means that for each unit increase in the input, the output increases by a constant amount.

Front

What is the relationship between input and output in a function?

Back

In a function, each input corresponds to exactly one output, establishing a clear relationship between the two.

Front

How do you determine the equation from a table of values?

Back

To determine the equation from a table, identify the pattern in the input-output pairs and use the slope-intercept form to derive the equation.