Function tables and graphs

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does the notation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you determine if an ordered pair (x, y) is a solution to a function?

Back

Substitute the x-value into the function and see if the resulting y-value matches the y in the ordered pair.

Front

What is the slope of the line represented by the equation y = -2x + 10?

Back

The slope is -2.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

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

Back

Substitute the input value into the function's rule to calculate the output.

Front

What is a function table?

Back

A function table is a table that displays pairs of input and output values for a function.

Front

What is the significance of the ordered pair (x, y) in a function?

Back

The ordered pair represents a specific input-output relationship defined by the function.

Front

How do you graph a linear function?

Back

Plot the y-intercept on the graph, then use the slope to find another point, and draw a line through the points.

Front

What is the output of the function f(x) = x - 8 when the input is 4?

Back

The output is -4.