Table of contents
- 0. Functions4h 53m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation2h 18m
- 4. Derivatives of Exponential & Logarithmic Functions1h 16m
- 5. Applications of Derivatives2h 19m
- 6. Graphical Applications of Derivatives6h 0m
- 7. Antiderivatives & Indefinite Integrals48m
- 8. Definite Integrals4h 36m
- 9. Graphical Applications of Integrals1h 43m
- 10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- 11. Techniques of Integration2h 7m
- 12. Trigonometric Functions6h 54m
- Angles29m
- Trigonometric Functions on Right Triangles1h 8m
- Solving Right Triangles23m
- Trigonometric Functions on the Unit Circle1h 19m
- Graphs of Sine & Cosine46m
- Graphs of Other Trigonometric Functions32m
- Trigonometric Identities52m
- Derivatives of Trig Functions42m
- Integrals of Basic Trig Functions28m
- Integrals of Other Trig Functions10m
- 13: Intro to Differential Equations2h 23m
- 14. Sequences & Series1h 53m
- 15. Power Series2h 19m
0. Functions
Properties of Functions
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Given the graph of the following function, determine where the graph reaches a maximum.

A
x=2
B
x=−2
C
x=3
D
x=−4

1
Step 1: Observe the graph and identify the points where the function changes direction from increasing to decreasing. These points are potential maximums or minimums.
Step 2: Look for the highest point on the graph where the function reaches its peak value. This is the maximum value of the function.
Step 3: Note the x-coordinate of the highest point on the graph. This x-coordinate corresponds to the location of the maximum.
Step 4: Verify that the function decreases immediately after this point, confirming it is indeed a maximum.
Step 5: Compare the x-coordinate of the maximum point with the given options (x=2, x=-2, x=3, x=-4) to determine the correct answer.
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