Identifying Absolute and Local Extrema

Practice Questions

High School Math › Identifying Absolute and Local Extrema

Questions

7

1

What is the absolute minimum of $5x^4+\sin x$ ?

2

What is the local maximum of $\sin(x)$ between $-\pi$ and $\pi$ ?

3

What is the local minimum of when $-3\leq x\leq 0$ ?

4

What is the local minimum of when $-1\leq x\leq 1$ ?

5

What is the local minimum of $f(x)=\frac{2}{3}x^3+7x^2-12x$ when $-10\leq x\leq 10$ ?

6

What is the local maximum of when $x\leq 0$ ?

7

Consider the function

Find the minimum of the function on the interval $\left [ 0,1 \right ]$ .

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