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 function increases by 3 units for every 1 unit increase in x.

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 a constant rate of change.

Front

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

Back

The domain is all real numbers, as there are no restrictions on the input x.

Front

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

Back

The range is all real numbers, as the output can take any value depending on the input.

Front

How do you find the x-intercept of the function f(x)=3x-8?

Back

Set f(x) to 0 and solve for x: 0 = 3x - 8, which gives x = 8/3.