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

Evaluate f(-2) if f(x) = x² + 3.

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

Given f(x) = 5x - 2 and g(x) = x², find f(2) + g(7).

Back

f(2) = 5(2) - 2 = 10 - 2 = 8; g(7) = 7² = 49; f(2) + g(7) = 8 + 49 = 57.

Front

If h(a) = 3 - 2x², find h(-3).

Back

h(-3) = 3 - 2(-3)² = 3 - 2(9) = 3 - 18 = -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

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.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

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

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.