Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x), g(x), etc., where 'f' or 'g' 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 and simplify.

Front

What is the output of the function g(x) = x + 1 when x = 8?

Back

The output is 9, since g(8) = 8 + 1.

Front

What is the output of the function f(x) = x^2 + 7 when x = 2?

Back

The output is 11, since f(2) = 2^2 + 7 = 4 + 7.

Front

How do you find the value of j(x) = 2x + 3 at x = -1?

Back

Substitute -1 into the function: j(-1) = 2(-1) + 3 = -2 + 3 = 1.

Front

What is the output of the function b(x) = 2x - 3 when x = -1?

Back

The output is -5, since b(-1) = 2(-1) - 3 = -2 - 3.

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 does the slope of a linear function represent?

Back

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

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of the function when the input variable is zero, represented as f(0).

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if its slope is positive and decreasing if its slope is negative.