Function Notation

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 variable, such as 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 and simplify.

Front

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

Back

f(-1) = -20.

Front

What does it mean for a function to be linear?

Back

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

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) are different functions that can have different rules or equations defining their outputs.

Front

How do you find the value of x when f(x) = k?

Back

To find x when f(x) = k, set the function equal to k and solve for x.

Front

Write a function to represent the number of animal crackers left after x minutes if you start with 200 and eat 6 per minute.

Back

f(x) = -6x + 200.

Front

Given f(x) = 5x - 2 and g(x) = x^2, find f(2) + g(7).

Back

f(2) + g(7) = 57.

Front

Evaluate f(-2) if f(x) = x^2 + 3.

Back

f(-2) = 7.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.