Semester Exam Review #1 (1-25)

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean if a function has a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend on the graph.

Front

How do you find the x-intercept of a graph?

Back

The x-intercept is found by determining the point where the graph crosses the x-axis, which occurs when y = 0.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

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 does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change regardless of the y-value.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the output value when x = 0.

Front

How can you determine if a relation is a function from a graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, where the y-value remains constant as the x-value changes.