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The graph of a function $f$ is given. Use the graph to find:(a) The numbers, if any, at which $f$ has a local maximum value. What are the local maximum values?(b) The numbers, if any, at which $f$ has a local minimum value. What are the local minimum values?(GRAPHS CANNOT COPY)

(a) $\frac{\pi}{2} ; 1$(b) $-\frac{\pi}{2} ;-1$

Calculus 1 / AB

Algebra

Chapter 2

Functions and Their Graphs

Section 3

Properties of Functions

Derivatives

Differentiation

Functions

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Lectures

01:32

In mathematics, the absolu…

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The graph of a function $f…

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we're gonna examine this function to see where we have local extreme local maximums occur Whenever there is a change in direction such that the function is went from increasing to decreasing, that will happen right here. So we have a local maximum at the X value of pi over two. The function value for that point that is the y coordinate. It's positive. One local minimum is where it changes from being a decreasing to an increasing function which is right there. So there is a local minimum when X is negative pi over two and when x is negative pira to the function value is negative one.

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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