Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f denotes the function and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable.

Front

What does f(2) mean in function notation?

Back

f(2) means to evaluate the function f at the input value of 2.

Front

If f(x) = 3(3x - 7), what is f(1)?

Back

To find f(1), substitute 1 for x: f(1) = 3(3(1) - 7) = 3(-4) = -12.

Front

What is the significance of the output in function notation?

Back

The output in function notation represents the value of the function for a given input, indicating the relationship between the input and output.

Front

How can you express the output of a function as an ordered pair?

Back

The output of a function can be expressed as an ordered pair (x, f(x)), where x is the input and f(x) is the corresponding output.

Front

What does c(7) represent in the function c(m) = 1.45m + 3.50?

Back

c(7) represents the cost of riding a taxi for 7 miles.

Front

If f(2) = 4, what does this tell you about the function?

Back

This tells you that when the input is 2, the output of the function is 4.

Front

What is the general form of a linear function?

Back

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

Front

How do you find the x-value when given f(x)?

Back

To find the x-value when given f(x), set the function equal to the given output and solve for x.