Week 15 TEST(8th):Compare Linear Functions/Qualitative Graphs

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is an increasing interval in a function?

Back

An increasing interval is a section of the graph where the function values rise as the input values increase.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a section of the graph where the function values fall as the input values increase.

Front

What is a relation in mathematics?

Back

A relation is any set of ordered pairs, which can include functions but is not limited to them.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions graph to straight lines, while nonlinear functions graph to curves or other shapes.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the x-values and y-values.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.