Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses letters like f, g, or h followed by parentheses containing the variable, e.g., f(x).

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. For example, to evaluate f(x) = 2x + 3 at x = 4, calculate f(4) = 2(4) + 3 = 11.

Front

What does f(n) = 4 - 10n represent?

Back

This is a linear function where the output f(n) depends on the input n. The function decreases as n increases due to the negative coefficient of n.

Front

If f(x) = 3x + 2, what is f(0)?

Back

f(0) = 3(0) + 2 = 2.

Front

What is the slope of the function f(x) = 4x - 1?

Back

The slope is 4, which indicates that for every 1 unit increase in x, f(x) increases by 4 units.

Front

How do you find the y-intercept of a function?

Back

The y-intercept is found by evaluating the function at x = 0. For example, in f(x) = 2x + 3, the y-intercept is f(0) = 3.

Front

What is the value of f(-3) if f(x) = 2x + 6?

Back

f(-3) = 2(-3) + 6 = 0.

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for x in the equation f(n) = 14 if f(n) = 4 - 10n?

Back

Set 4 - 10n = 14, then solve for n: -10n = 10, so n = -1.

Front

What is the output of f(x) = -2x - 12 when x = -5?

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.