4.9 Unit 4 Test Review (Functions)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

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 which the function is defined.

Front

What is the range of a function?

Back

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

Front

Translate to an algebraic expression: 7 less than the product of 4 and a number.

Back

The expression is 4x - 7.

Front

Translate to an algebraic expression: 7 is less than the product of 4 and a number.

Back

The expression is 7 < 4x.

Front

What does f(-11) mean in the context of a function?

Back

f(-11) represents the output of the function f when the input is -11.

Front

How do you find the value of f(x) for a linear function?

Back

Substitute the x-value into the linear equation and solve for f(x).

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 f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).