Function Notation and Evaluation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format 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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable. For example, if f(x) = 2x + 3, to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.

Front

Given f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = 2(-1)^2 + 5(-1) - 17 = 2(1) - 5 - 17 = 2 - 5 - 17 = -20.

Front

How would you write y = 2x - 3 in function notation?

Back

In function notation, it is written as f(x) = 2x - 3.

Front

If f(x) = -3x - 8, find f(-1).

Back

f(-1) = -3(-1) - 8 = 3 - 8 = -5.

Front

Evaluate f(x) = 4|x - 8| + 2 when x = 6.

Back

f(6) = 4|6 - 8| + 2 = 4|-2| + 2 = 4(2) + 2 = 8 + 2 = 10.

Front

If f(x) = 2x + 1, find f(1).

Back

f(1) = 2(1) + 1 = 2 + 1 = 3.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function f(x) = 3x + 4?

Back

The slope of the function f(x) = 3x + 4 is 3.

Front

What is the y-intercept of the function f(x) = -2x + 5?

Back

The y-intercept of the function f(x) = -2x + 5 is 5.