# 2 Flashcard Review: Function Notation and Evaluating Functions

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?

Back

To evaluate a function, substitute the input value into the function's equation and simplify to find the output.

Front

What does f(x) = 2x - 3 represent?

Back

This represents a linear function where the output f(x) is calculated by multiplying the input x by 2 and then subtracting 3.

Front

What does h(4) = 5 mean in the context of a function?

Back

It means that when the input t is 4 weeks, the output h(t) is 5 inches, indicating the height of the plant after 4 weeks.

Front

When is a function increasing?

Back

A function is increasing on an interval if the output values rise as the input values increase within that interval.

Front

What does it mean for a function to be negative?

Back

A function is negative when its output values are less than zero for certain input values.

Front

What does it mean for a function to be positive?

Back

A function is positive when its output values are greater than zero for certain input values.

Front

How can you determine where a function is increasing or decreasing?

Back

You can determine where a function is increasing or decreasing by analyzing its graph or by finding the intervals where its derivative is positive or negative.

Front

What is the significance of the x-intercept of a function?

Back

The x-intercept is the point where the function crosses the x-axis, indicating where the output value is zero.

Front

What is the significance of the y-intercept of a function?

Back

The y-intercept is the point where the function crosses the y-axis, indicating the output value when the input is zero.