A.3ABCD Rate of Change DA#3 REDO

Front

What is the zero of a linear function?

Back

The zero of a linear function is the x-value where the function's output (y-value) is zero, meaning the point where the graph intersects the x-axis.

Front

How do you determine if a graph correctly represents a solution set for an inequality?

Back

To determine if a graph correctly represents a solution set for an inequality, check if the shaded region corresponds to the values that satisfy the inequality.

Front

What does the ordered pair (-4, 8) represent in relation to the inequality x < -2?

Back

The ordered pair (-4, 8) is a solution to the inequality x < -2 because -4 is less than -2.

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the ratio of the change in the dependent variable (y) to the change in the independent variable (x), often represented as 'rise over run'.

Front

How do you calculate the rate of change from a table of values?

Back

To calculate the rate of change from a table of values, find the difference in the y-values and divide it by the difference in the x-values between two points.

Front

What does a rate of change of 1/7 in. per step indicate?

Back

A rate of change of 1/7 in. per step indicates that for each step taken, the height off the ground increases by 1/7 of an inch.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of a linear function indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means an increasing relationship, while a negative slope means a decreasing relationship.

Front

What does it mean for a graph to be 'False' in relation to an inequality?

Back

If a graph is labeled 'False' for an inequality, it means that the shaded region does not accurately represent the values that satisfy the inequality.

Front

How can you identify the zero of a function from its graph?

Back

You can identify the zero of a function from its graph by locating the point where the graph crosses the x-axis.