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

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

• Linear

• Quadratic

• Exponential

• All of the above

Is the equation linear, exponential, or quadratic?

• Linear

• Exponential

• Quadratic

An ant colony is growing and doubles in population every 2 months. On the initial day of study the colony had 48 ants.  The table shows the ant population of the colony at the end of the first few months.

• Linear Fxn

• Quadratic Fxn

• Exponential Fxn

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).

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

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

Tags

CCSS.HSF.BF.B.3

Which function is exponential and decreasing?

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7E

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)

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2