Algebra I Unit 5

What is a, the starting (initial) value, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Is this exponential growth or decay?

• Growth

• Decay

Identify the y-intercept (starting value) in the function f(x)=13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Ty's house is worth $100,000 right now. It will lose value at a rate of 2% per year.
Which function models this situation?

• f(x) = 100,000(0.02)^x

• f(x) = 100,000(1.02)^x

• f(x) = 100,000(0.98)^x

• f(x)=100,000(98)^x

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

You went viral on youtube. Use the function, M=4(2)^t, where M is the amount of money you have after t days.

How much money do you have at 0 days?

You went viral on youtube. Use the function, M=4(2)^t, where M is the amount of money you have after t days.

How much money do you have after 30 days?

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2