Function Tables

Front

What is a function rule?

Back

A function rule is a mathematical expression that defines a relationship between input (x) and output (y). It describes how to calculate the output based on the input.

Front

How do you find the output of a function when given an input?

Back

To find the output, substitute the input value into the function rule and perform the calculations.

Front

What does the Y-intercept represent in a linear equation?

Back

The Y-intercept is the value of y when x is zero. It indicates where the line crosses the y-axis.

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of the line, representing the rate of change of y with respect to x.

Front

If the function rule is y = 2x + 1, what is the output when x = 3?

Back

The output is 7.

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean if a function is linear?

Back

A linear function is one that graphs to a straight line, meaning it has a constant rate of change.

Front

If the function rule is y = x - 6, what is the output when x = 8?

Back

The output is 2.

Front

What is the output of the function y = 3x + 4 when x = 0?

Back

The output is 4.