Unit 3 Review: Linear Functions & Analyzing Graphs

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

Define discrete data.

Back

Discrete data consists of distinct or separate values. It can only take specific values, often counted in whole numbers.

Front

Define continuous data.

Back

Continuous data can take any value within a given range. It is measured and can include fractions and decimals.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope of the line, calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the zero of a function?

Back

To find the zero of a function, set the function equal to zero and solve for the variable. The zero is the x-value where the graph intersects the x-axis.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase. This is indicated by a positive slope.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease. This is indicated by a negative slope.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values that satisfy a function, helping to visualize the relationship between the variables.