Function Notation

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

What does f(10) mean in function notation?

Back

f(10) represents the output of the function f when the input x is 10.

Front

If f(x) = -x - 5, what is f(10)?

Back

f(10) = -10 - 5 = -15.

Front

What does h(4) = 5 mean if h(t) represents the height of a plant after t weeks?

Back

It means that after 4 weeks, the plant is 5 inches tall.

Front

How do you write a function for the number of animal crackers left after x minutes if you eat 6 per minute?

Back

f(x) = -6x + 200, where 200 is the initial number of crackers.

Front

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

Back

f(2) = 5(2) - 2 = 10 - 2 = 8.

Front

What is the output of g(7) if g(x) = x^2?

Back

g(7) = 7^2 = 49.

Front

What is the sum of f(2) and g(7) if f(x) = 5x - 2 and g(x) = x^2?

Back

f(2) + g(7) = 8 + 49 = 57.

Front

What does it mean to find f(2)?

Back

It means to substitute x with 2 in the function f.

Front

What is the general form of a linear function?

Back

A linear function can be expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.