Graphing Exponential Growth Functions

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

Tags

CCSS.HSF-IF.C.7A

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: All Real Numbers
  Range: $\left(0,\infty\right)$

• Domain: All Real Numbers
  Range: $\left(1,\infty\right)$

• Domain: $\left(-2,\infty\right)$
  Range: $\left(0,\infty\right)$

• Domain: $\left(0,\infty\right)$
  
  Range: All Real Numbers

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit
• Horizontal shift right one unit
• Vertical shift up one unit
• Vertical shift down one unit

Tags

CCSS.HSF-IF.C.7E

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=-3\left(2\right)^x-7$  

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

• Reflection across the x-axis, horizontal shift right 3, vertical shift down 7 

• Reflection across the x-axis, stretch by a factor of 3, vertical shift down 7 

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

A population of 1500 deer increases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t

• y = 1500(0.015)^t

• y = 1500(1+.015)t

• y = 1500(1.5)^t

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A population of fish starts at 8,000 and increases by 6% per year.

What is the fish population in 10 years?

• $14,327$

• $4,309$

• $839$

• $7,680$

What is the horizontal asymptote for the graph of 
f(x)=-2(3)^x+4-8 ?

• y=8
• y=-8
• x=-8
• x=-4

Tags

CCSS.HSF-IF.C.7D

What transformations have occurred from  $f\left(x\right)=2^x$   to  $g\left(x\right)=4\left(2\right)^{\left(x-3\right)}+1$  

• Vertical stretch by 4, Right 4, Up 1

• Vertical stretch by 2, Left 3, Up 1

• Vertical stretch by 4, Right 3, Up 1

• Vertical stretch by 2, Right 3, Up 1

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