Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific point?

Back

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

Front

If f(x) = -3x + 3, what is f(0)?

Back

f(0) = 3.

Front

If h(x) = -5x + 7, what is h(2)?

Back

h(2) = -3.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x.

Front

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

Back

f(4) = 21.

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

If f(x) = 2x^2 + 5x - 3, what is f(-1)?

Back

f(-1) = -6.

Front

What is the difference between input and output in a function?

Back

Input is the value you provide to the function (x), and output is the result you get after applying the function (f(x)).

Front

What is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of the function; it indicates how much the output changes for a unit change in the input.