Unit 6 Retest

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same x-value with different y-values.

Front

What is an initial value in a function?

Back

The initial value is the output of the function when the input (x) is zero.

Front

What does the rate of change represent in a linear function?

Back

The rate of change represents how much the output (y) changes for a unit change in the input (x).

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).

Front

How do you write the equation of a line given two points?

Back

First, find the slope using the two points, then use the point-slope form to write the equation.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for the same input.

Front

If a function has a rate of change of 0.5, what does this mean?

Back

It means that for every 1 unit increase in x, the value of y increases by 0.5 units.