Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form 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 expression and simplify.

Front

What does h(a) = 3 - 2x² represent?

Back

This represents a function h that takes an input a and outputs the value calculated by the expression 3 - 2 times the square of a.

Front

If h(a) = 3 - 2a², what is h(-3)?

Back

h(-3) = 3 - 2(-3)² = 3 - 18 = -15.

Front

How can you represent a situation with a function?

Back

You can represent a situation with a function by defining a relationship between variables, often using an equation that describes how one variable depends on another.

Front

What is the function for the number of animal crackers left after x minutes if you start with 200?

Back

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

Front

How do you find the value of f(-2) if f(x) = x² + 3?

Back

Substitute -2 into the function: f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

What is the process to solve for x in the equation f(x) = -2?

Back

Set the function equal to -2 and solve for x, which may involve rearranging the equation.

Front

If f(3) = 2x + 1, how do you find the value of x?

Back

Substitute 3 into the function: 2x + 1 = f(3). Solve for x.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output value changes for a unit change in the input value.