Evaluate a Function: equation, table, graph

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, such as f(2)?

Back

To evaluate f(2), substitute x with 2 in the function's equation and calculate the result.

Front

What is the significance of the variable x in the function f(x)?

Back

The variable x is the independent variable, representing the input value for which the function is evaluated.

Front

What does it mean to find f(5) in a function?

Back

Finding f(5) means determining the output of the function when the input x is 5.

Front

If f(x) = 5x - 12, what is f(4)?

Back

f(4) = 5(4) - 12 = 20 - 12 = 8.

Front

What is the process to solve for x when f(x) = 8 in the equation f(x) = 5x - 12?

Back

Set 5x - 12 = 8, then solve for x: 5x = 20, so x = 4.

Front

What does it mean to evaluate f(-2)?

Back

To evaluate f(-2), substitute x with -2 in the function's equation and calculate the result.

Front

How can you represent a function using a table?

Back

A function can be represented using a table by listing input values (x) and their corresponding output values (f(x)).

Front

What is the graphical representation of a function?

Back

The graphical representation of a function is a plot of points (x, f(x)) on a coordinate plane, showing the relationship between the input and output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x) is associated with exactly one output (f(x)).