Exponential Functions and Graphs

The video tutorial covers various mathematical concepts, including the surface area of a cylinder, function analysis, compound interest, graph intersections, odd and even functions, rational exponents, parabolas, solving logarithmic equations, exponential graphs, and fraction properties. Each section provides detailed explanations and examples to help students understand and apply these concepts.

What is the formula for the lateral surface area of a cylinder?

• πrh

• 2πr²

• 2πrh

• πr²h

If f(x) > 0, where is f(x) positive?

• -2 < x < 1

• x < -2

• x = 0

• x > 1

How much will $100 become after 24 years if it quadruples every 8 years?

• $400

• $1600

• $800

• $3200

What is the y-coordinate of the intersection of two graphs if y = 3?

• 2

• 3

• 4

• 1

Which of the following is true for an odd function?

• Not symmetric

• Symmetric about the origin

• Symmetric about the y-axis

• Symmetric about the x-axis

What is 25 to the power of 1/2?

• 5

• 10

• 15

• 20

How do you solve an equation with a logarithm?

• Take the square root of both sides

• Exponentiate both sides

• Integrate both sides

• Differentiate both sides

What does the graph of y = 5^x look like?

• A straight line

• A parabola

• An exponential curve

• A circle

If a fraction equals zero, what must be true?

• Both numerator and denominator are zero

• The denominator is zero

• Neither numerator nor denominator is zero

• The numerator is zero

What is the approximate value of 3^14 if 3^7 is about 2000?

• 4000

• 32000

• 8000

• 16000