Equations as Functions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What is a function?

Back

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

Front

What does the 'Y' value represent in a function?

Back

The 'Y' value represents the output value of the function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (X values) for that function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (Y values) that the function can produce.

Front

How do you find the output of a function?

Back

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

Front

What is 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 'm' represent in the equation of a line (y = mx + b)?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation of a line (y = mx + b)?

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

If the domain is {-1, 0, 1}, how do you find the range for the function y = 7x - 1?

Back

Substitute each value from the domain into the function to find the corresponding output values.