Unit 2 Show Me What You Remember

Front

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

Back

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

Front

How do you determine the range from a set of values?

Back

The range is the set of all output values (y-values) that a function can produce, often represented in set notation.

Front

What is a function in mathematics?

Back

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

Front

What does the x-intercept of a graph represent?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is zero, represented by b in the equation.

Front

How do you find the x-intercept of the equation x + 4y = 7?

Back

To find the x-intercept, set y = 0 and solve for x. The x-intercept is (7, 0).

Front

What is the significance of the slope in a linear equation?

Back

The slope (m) indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between input and output values, showing how each input is paired with an output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).