Table of contents

0. Functions7h 52m
1. Limits and Continuity2h 2m
2. Intro to Derivatives1h 33m
3. Techniques of Differentiation3h 18m
4. Applications of Derivatives2h 38m
5. Graphical Applications of Derivatives6h 2m
6. Derivatives of Inverse, Exponential, & Logarithmic Functions2h 37m
7. Antiderivatives & Indefinite Integrals1h 26m
8. Definite Integrals4h 44m
9. Graphical Applications of Integrals2h 27m
- Area Between Curves
  1h 18m
- Introduction to Volume & Disk Method
  1h 8m
10. Physics Applications of Integrals 3h 16m
- Kinematics
  1h 13m
- Work
  2h 3m
11. Integrals of Inverse, Exponential, & Logarithmic Functions2h 34m

0. Functions

Properties of Functions

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Multiple Choice

Given the graph of the following function, determine where the graph reaches a maximum.

$x equals 2$

$x = - 2$

$x equals 3$

$x = - 4$

Verified step by step guidance

Observe the graph of the function provided. The graph is a curve that appears to have a peak or maximum point.

Identify the highest point on the graph. This is where the function reaches its maximum value.

Look at the x-coordinate of this highest point. This will tell you where the maximum occurs.

From the graph, the maximum point appears to be at x=3, where the curve reaches its highest y-value.

Verify that this point is indeed a maximum by checking that the curve decreases on either side of this point.

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