Evaluate Functions

Front

What is a function in mathematics?

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(2) represent in a function?

Back

f(2) represents the output of the function f when the input is 2.

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 significance of finding h(x) = 23?

Back

Finding h(x) = 23 means determining the input value x for which the output of the function h is 23.

Front

What does it mean to find f(0)?

Back

Finding f(0) means evaluating the function f at the input value of 0.

Front

What is the output of a function when the input is 0?

Back

The output of a function when the input is 0 is the value of the function evaluated at that point, which can vary depending on the function.

Front

How do you find the value of h(-3)?

Back

To find h(-3), substitute -3 into the function h and simplify to get the output.

Front

What is the general form of a function?

Back

The general form of a function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept for linear functions.

Front

What is the difference between f(x) and h(x)?

Back

f(x) and h(x) are different functions that may have different rules or equations governing their outputs.

Front

What does it mean if a function is linear?

Back

A function is linear if it can be graphically represented as a straight line, meaning it has a constant rate of change.