Flashcard 5.1-5.3 Review

Front

What is the range in a function?

Back

The range is the set of all possible output values (y-values) that a function can produce based on its domain.

Front

What is the difference between input and dependent value in a function?

Back

Input refers to the independent variable (x-value), while the dependent value (y-value) is the output that depends on the input.

Front

Write a linear equation in the form of y=mx+b for a slope of -3 and y-intercept of -6.

Back

y = -3x - 6

Front

What defines a function in mathematics?

Back

A function is a relation where each input has exactly one output.

Front

What is a discrete function?

Back

A discrete function consists of distinct, separate values, often represented by individual points on a graph.

Front

What is a continuous function?

Back

A continuous function has no breaks, jumps, or holes in its graph, meaning it can take any value within a given range.

Front

How can you determine if a graph represents a function?

Back

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 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 the term 'y-value' refer to in a function?

Back

The y-value is the output of a function corresponding to a given input (x-value).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.