functions practice

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the equation y = 7x represent?

Back

This equation represents a linear function where the output (y) is seven times the input (x).

Front

How do you find the output of a function?

Back

To find the output, substitute the input value into the function's equation.

Front

What is the output when x = 1 in the function y = 7x?

Back

The output is 7, because y = 7(1) = 7.

Front

What is the slope in the equation y = x + 5?

Back

The slope is 1, indicating that for every increase of 1 in x, y increases by 1.

Front

What does the term 'linear function' mean?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is the y-intercept in the equation y = x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is the output when x = 2 in the function y = x + 5?

Back

The output is 7, because y = 2 + 5 = 7.

Front

What does the graph of a function show?

Back

The graph of a function shows the relationship between the input values (x-axis) and the output values (y-axis).