Exp & Log Review - Graphing, inverses, and applications

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

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

• 
• 
• 
• 

• 
• 
• 
• 

• (3,0)

• (1/2, 0)

• (0,0)

• (0,3)

• Decay

• Growth

In the following decreasing exponential graph

• the base is greater than one

• the base is between 0 and 1

• the base is zero

• the base is a negative value

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

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

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