Section 7 Review: Exponential Functions

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
What is the y-intercept?

• (0, .05)
• (0,2)
• (0, .1)
• (0,0)

Does the equation represent growth or decay?

y = 4(0.5)^x

• Growth since the y-int is greater than 1.

• Growth since the ratio is greater than 1.

• Decay since the y-int is less than 1.

• Decay since the ratio is less than 1.

What is the y-intercept of the graph?

• 21,500

• 0.88

• 10,000

• 6

What is the range of the function shown?

• All real numbers greater than 3

• All real numbers

• All real numbers greater than 0

• All real numbers greater than or equal to 0

Given the table, what will be the population of mice after 8 months?

• 192

• 3,072

• 256

• 1,536

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2