Learn about when a function is concave up or concave down. Discover how to algebraically determine if a function is concave up, and how to graph a concave function.

Learn the definition of concavity and how to find inflection points. Understand the step-by-step processes for finding inflection points and intervals of concavity.

Learn how to identify intervals where a graph is concave up, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

A function can be both concave up and down because the function's concavity switches at one or more points. A point at which a function's concavity changes is called an inflection point.

The graphs of curves can be concave up or concave down. A simple way to describe the differences between a graph being concave up or down is to use the shape of a bowl.

Inflection points and concavity give graphs their smooth sloped shape, like a skateboarding ramp. Learn how to define concavity and concave up/concave down lines as well as how to identify the ...

Video: Concave Up Overview, Function & Graph As a member, you'll also get unlimited access to over 88,000 lessons in math, English, science, history, and more.

Linear with negative slope: Velocity is a negative constant. Curve line with positive concavity (concave up): velocity is increasing (becomes more positive) due to the object's positive acceleration.

Consider the function f (x) below. At x = 1 is this function concave up, concave down, or an inflection point?

Question: The function graphed above is: Concave up on the interval (s) Write your answer using interval notation Concave down on the interval (s) Write your answer using interval notation There is …