The term concave down is sometimes used as a synonym for concave function. However, the usual distinction between the two is that “concave down” refers to theshapeof a graph, or part of a graph. While some functions can have parts that are concave up and other parts that are concave d...
Question: For the following function, find where the graph is concave up and down: {eq}y = 5 - x^{4/3} {/eq}. Concavity of the Graph: The shape and the concavity of the curve define the types of the function. Concavity denotes the rate of change of the ...
1.Concaveupandconcavedown DefinitionForafunctionfthatisdifferentiableonanintervalI,thegraphoffis a.Iffisconcaveupona,b,thenthesecantlinepassingthroughpointsx 1 ,fx 1 andx 2 ,fx 2 foranyx 1 andx 2 ina,bareabovethecurvey fx betweenx 1 ,fx 1 andx 2 ,fx 2 . b.Iffisconcavedownona,b,th...
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...
Graphs: The graph of the function is plotted in the coordinate axes and then we can use the visual method to check the concavity and the inflection points of that curve. The graph of the function is also plotted when we know the table of values. ...
Using the slopes, a function can be determined to be concave down, if the slopes are decreasing. Also, if the second derivative is negative then the the function will be concave down on the same interval. Lastly, if looking at a graph, then the function is concave down wherever the graph...
Question: The function graphed above is:Concave up on the interval(s)Concave down on the interval(s)There is an inflection point at: Concave up on the interval() Concave down on the interval(s) There is an inflection point at: There are 3 steps to solve t...
How do you know if a function is concave? To discern from a graph whether a function is concave, draw secant lines (lines connecting two points on the function). If they lie below the function, the function is concave. To determine algebraically whether a function is concave, see if its...
The graph of f is aconcave upparabola, the critical point is the abscissa of the vertex, where the tangent line is horizontal, and the critical value is the ordinate of the vertex and may be represented by the intersection of this tangent line and the y-axis. ...
Let’s get back to the example of Joe and his image on the spoon. Now, Joe sees his reflection on the back side of the spoon. His image is not upside down as before but, it appears much bigger than the usual image on a plane mirror. ...