Function Notation and Graphs

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

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.

Front

What does f(a + 2) represent in function notation?

Back

f(a + 2) represents the output of the function f when the input is a + 2.

Front

What is the significance of H(5) = 18 in a real-world context?

Back

H(5) = 18 indicates that after 5 weeks, the height of the plant is 18 inches.

Front

How do you find the value of a function at a specific point, such as f(0)?

Back

To find f(0), substitute 0 into the function's equation and simplify.

Front

What does f(1) represent in the context of a function?

Back

f(1) represents the output of the function when the input is 1.

Front

What does the notation f(x) = mx + b represent?

Back

This notation represents a linear function, where m is the slope and b is the y-intercept.

Front

How can you interpret f(x) in a real-world scenario?

Back

f(x) can represent a relationship between two quantities, such as time and distance, or cost and quantity.

Front

What is the meaning of f(6) = 30 in a business context?

Back

f(6) = 30 means that when 6 units (e.g., books) are sold, the revenue or profit is $30.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of the function, indicating how much the output changes for a unit change in the input.