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Brian McLogan
Determining the extrema as well as zeros of a polynomial based on the graph
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
Absolute or relative minimum of graph?
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
How to determine the absolute and local max min
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
Given the derivative graph of f' find the relative min
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x)...
Brian McLogan
How to determine the absolute and local max min of a graph
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
How to find the end behavior of a polynomial in factored form
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
Determine the number of extrema of a polynomial
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
Learn how to graph and describe characteristics of a natural logarithm
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Master How to determine the extrema from a graph
Master How to determine the extrema from a graph
Sophia Learning
Sophia: Finding Extrema on an Interval: Lesson 7
This lesson practices using derivatives to locate relative or endpoint extrema on an interval. It is 7 of 8 in the series titled "Finding Extrema on an Interval."
Sophia Learning
Sophia: Finding Relative Extrema: Lesson 3
Locating relative extrema and using them to interpret the behavior of the graph are shown here. This lesson is 3 of 6 in the series titled "Finding Relative Extrema."
Sophia Learning
Sophia: Endpoint Extrema: Lesson 4
This lesson explains how extrema can be located at the ends of intervals. It is 4 of 5 in the series titled "Endpoint Extrema."
Sophia Learning
Sophia: Extrema: Lesson 3
This lesson introduces minimum and maximum function values also called function extrema. It is 3 of 4 in the series titled "Extrema."
Sophia Learning
Sophia: Extrema: Lesson 1
This lesson introduces minimum and maximum function values also called function extrema. It is 1 of 4 in the series titled "Extrema."
Sophia Learning
Sophia: Finding Extrema on an Interval: Lesson 4
This lesson practices using derivatives to locate relative or endpoint extrema on an interval. It is 4 of 8 in the series titled "Finding Extrema on an Interval."
Sophia Learning
Sophia: Finding Extrema on an Interval: Lesson 6
This lesson practices using derivatives to locate relative or endpoint extrema on an interval. It is 6 of 8 in the series titled "Finding Extrema on an Interval."
Sophia Learning
Sophia: Finding Extrema on an Interval: Lesson 8
This lesson practices using derivatives to locate relative or endpoint extrema on an interval. It is 8 of 8 in the series titled "Finding Extrema on an Interval."
Sophia Learning
Sophia: Finding Extrema on an Interval: Lesson 1
This lesson practices using derivatives to locate relative or endpoint extrema on an interval. It is 1 of 8 in the series titled "Finding Extrema on an Interval."
Sophia Learning
Sophia: Finding Relative Extrema: Lesson 2
Locating relative extrema and using them to interpret the behavior of the graph are shown here. This lesson is 2 of 6 in the series titled "Finding Relative Extrema."
Sophia Learning
Sophia: Finding Relative Extrema: Lesson 4
Locating relative extrema and using them to interpret the behavior of the graph are shown here. This lesson is 4 of 6 in the series titled "Finding Relative Extrema."