The turning points of a graph indicate where the function changes direction, signaling local maxima and minima. Specifically, a turning point corresponds to a change in the sign of the first derivative, which means the function is either increasing or decreasing before and after that point. Analyzing these points helps identify critical features of the function, such as the overall shape and behavior, which can be useful for optimization and understanding trends.
The turning point of a graph is called a "critical point" or "extremum." In calculus, these points occur where the derivative of a function is zero or undefined, indicating a local maximum or minimum. At these points, the graph changes direction, which can represent peaks or valleys in the function's behavior.
Can you Graph: x4 +10x2 + 33x2 + 38x +8 Find: All X-Intercepts, Y-Intercept, Turning points
The following problem is a parabola so there is only one turning points so the answer is going to be: 2
you should know this
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
Turning points are the points at which a graph changes direction from increasing o decreasing or decreasing to increasing.
The turning point of a graph is called a "critical point" or "extremum." In calculus, these points occur where the derivative of a function is zero or undefined, indicating a local maximum or minimum. At these points, the graph changes direction, which can represent peaks or valleys in the function's behavior.
it is impossible to tell the slope of a line graph without proper points to evaluate from.
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
Whether the graph has 0, 1 or 2 points at which it crosses (touches) the x-axis.
Can you Graph: x4 +10x2 + 33x2 + 38x +8 Find: All X-Intercepts, Y-Intercept, Turning points
The following problem is a parabola so there is only one turning points so the answer is going to be: 2
Differentiation, is often used to find the tangent of a curved graph. Each time you differentiate a function, you decrease the number of turning points in the graph, to a minimum of no turning points i.e. y = 3x. Differentiating to different orders is also used to find tangents, of tangents.
No, a velocity graph does not indicate where to start. It provides information about the speed and direction of an object's motion at different points in time but does not specify the initial position of the object.
To graph points, use rise over run and go up and over on the graph
you should know this
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.