Function Notation no equations

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by parentheses containing the input value, such as f(x).

Front

What does f(4) represent?

Back

f(4) represents the output of the function f when the input is 4.

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 expression and simplify.

Front

What is the meaning of g(11) = 5 and 8?

Back

This means that when the input to the function g is 11, the output can be either 5 or 8.

Front

How do you find f(2) if f(x) = x^2 + x - 3?

Back

Substitute 2 into the function: f(2) = 2^2 + 2 - 3 = 3.

Front

What does the point (2, -5) represent in function notation?

Back

The point (2, -5) indicates that when the input is 2, the output of the function is -5.

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

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.