Solving Capstone Review Equations and Graphs

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: −∞<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

Tags

CCSS.HSF.LE.A.2

What function is present? 

• Absolute Value
• Exponential Decay
• Linear Equation
• Exponential Growth

Tags

CCSS.HSF-IF.C.7E

• 
• 

• 96

• 7776

• 30

Tags

CCSS.HSF.LE.A.2

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

• y= 6500(1+.14)^x

• y= 6500(1-.14)^x

• y= 6500(14)^x

• y= 14(6500)^x

Tags

CCSS.HSF-BF.A.1A

Which of the followings functions shows an initial amout of $15 and an increase of 35% ?

• y=15(35)^x

• y=15(1.35)^x

• y=15(0.35)^x

• y=35(15)^x

Tags

CCSS.HSF.LE.A.2

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

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2