Comparing Exponential Linear Quadratic

Based on the table, which function will have the greatest y-value for x = 100?

• Function 1

• Function 2

• Function 3

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

As x becomes very large, which of the following functions will have the greatest value?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

In the table, function 1 is

• Linear

• Quadratic

• Exponential

In the table, function 2 is

• Linear

• Quadratic

• Exponential

• a

• b

• c

• d

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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 statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

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

Tags

TEKS.MATH.8.5C

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Two functions are shown below. For what positive minimum value of x will f(x) exceed g(x)? f(x) = x² - 5x + 6 g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8

As x increases beyond 25, which function will have the largest value?

• f(x) = 1.5^x

• g(x) = 1.5x + 3

• h(x) = 1.5x²

• k(x) = 1.5x³ + 1.5x²

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9