Evaluate Functions

Front

What is a function?

Back

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

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the value of f(6) for the function f(x)=3x-8?

Back

10

Front

What is the slope of the function f(x)=3x-8?

Back

The slope is 3, which indicates the rate of change of the function.

Front

What is the y-intercept of the function f(x)=3x-8?

Back

The y-intercept is -8, which is the value of f(0).

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by the equation f(x) = mx + b.

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

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) to 0 and solve for x.