Exponential Function and Review

What is the domain of the following function?

The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

• 2,240

• 2,250

• 5,488

• 6,240

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1

Solve for x

• 5/3

• 2

• 3/5

• No solution

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

What is the range of this graph?

• y = 6

• (0, -4)

• y > -6

• y < -6

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

What is the end behavior?

• As x approaches infinity, f(x) approaches infinity.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches infinity, f(x) approaches 0.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches infinity, f(x) approaches negative infinity.

  As x approaches negative infinity, f(x) approaches infinity

• As x approaches 0, f(x) approaches infinity.

  As x approaches negative infinity, f(x) approaches infinity