D1-Evaluating 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(0) represent in a function?

Back

f(0) represents the output of the function when the input is 0.

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the value of f(0) if f(x) = 2x + 5?

Back

f(0) = 5.

Front

What is the value of f(2) if f(x) = 2x + 5?

Back

f(2) = 9.

Front

What is the value of f(-3) if f(x) = 2x + 5?

Back

f(-3) = -1.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

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 (y-values) that the function can produce.