Exponential Functions

When solving exponential equations, you must first get like _______?

• exponents
• bases

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Solve 8 = 2^5x+7

• ⅘
• ¼
• -⅘
• -¼

To solve 108 = 3(6)^x, what is your first step?

• subtract 3 from both sides
• multiply by 3 on both sides
• divide each side by 3

Tags

CCSS.HSA.REI.A.1

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What transformations have happened to y = 2^x if the new equation is
 y = -2^(x+3) -6

• It stayed the same
• flips, up 3, left 6
• flips, right 3, down 6
• flips, left 3, down 6

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

• y = 2
  right 2, up 1
• y = 1
  left 2, up 1
• y = 1
  right 2, up 1
• y = 2
  right 1, up 2

Tags

CCSS.HSF-IF.C.7E

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x