Functions Review (Math 8 24-25)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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 can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values. You can use the vertical line test on a graph.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, etc.

Front

Identify the linear function from the following: y = 2x + 4, y = 2x^2 + 4, y = 2x(4 - 3x), xy = 15.

Back

y = 2x + 4 is the linear function.

Front

What is the slope of the function y = 3x + 2?

Back

The slope of the function y = 3x + 2 is 3.

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input value (x) is 0.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct and separate values (like points on a graph), while continuous functions have an unbroken line or curve.