OL Alg 2 Exponential and Logs Review 1

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

Use the graph to help!

• Domain: (−∞,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: (1,∞)

• Domain: (-2,∞)

  Range: (0,∞)

• Domain: (−∞,∞)

  Range: [0,∞)

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

• Exponential Growth

• Exponential Decay

• Linear

• None

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

• y=2

• y=0

• y=3

• x=-4

What function is present? 

• Absolute Value

• Exponential Decay

• Linear Equation

• Exponential Growth

What type of function is present? f(x) = 2^x? 

• Exponential Growth

• Linear Equation

• Absolute Value

• Exponential Decay 

For  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , find the correct graph, asymptote, domain and range.

• 
• 

For  $y=a\left(b\right)^x+k$  , how does adding a constant "k" transform the parent function?

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$  
What transformation has taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3