Compare and Contrast Exponential Function

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• linear

• quadratic

• exponential

• none of the above

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Is the equation linear, exponential, or quadratic?

• Linear

• Exponential

• Quadratic

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

Which statement below describes the comparison of the linear function f(x) and the exponential function g(x)?

• The value of g(x) is always greater than the value of f(x).

• The value of g(x) is never greater than the value of f(x).

• The value of g(x) will eventually exceed the value of f(x).

• There is not enough information to compare the value of f(x) to the value of g(x).

Compare the following functions: Y(x) is shown in the table and f(x) = 95(1.25)^x Which statements are true? Show work (hint: make a table for f(x) and find the growth factor for y(x)).

• When x>3, f(x) will exceed y(x)

• g(x) will reach 120 first.

• f(x) has a smaller y intercept compared to y(x)

• From 0 <x < 2, g(x) has a faster rate of change.

Which statements below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

• Both functions are exponential decay

Function A is linear and starts with $1000 and increases by $100 each day y=100x+1000 Function B is exponential and begins with $20 but doubles each day y = 20(2)^x On which interval (domain) does Function B exceed Function A?

• (0,1635.34)

• (0,6.353)

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3