Sample Methods and Exponential Functions

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve: 2^x = 4^x+1

• -2

• 2

• -3

• 3

27^2x = 3^x-7

• -7/3

• -1

• -5/7

• -7/5

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve for x

• 5/3

• 2

• 3/5

• No solution

Solve for x

• 1

• 4

• 1/2

• no solution

Consider two exponential functions:

f(𝑥) = 2(3)^x

𝑔(𝑥) = 100(0.5)^x

Which of the following statements is true about these functions?

• Both represent growth

• Both represent decay

• F(x) represents growth and g(x) represents decay

• F(x) represents decay and g(x) represents growth

What is the horizontal asymptote of all exponential functions?

• The x-axis

• The y-axis

• All real numbers

• Exponential Growth

• Exponential Decay

• Linear

• None