Compare Exponential Functions and Linear Functions

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Monica did an experiment to compare two method of warming an object. The results are shown in the table above. Which statement best describes her results?

• The temperature using both methods changed at a constant rate.

• The temperature using both methods changed at an exponential rate.

• The temperature using Method 2 changed at a constant rate.

• The temperature using Method 2 changed at an exponential rate.

Tags

CCSS.HSF-LE.A.1B

• A

• B

• C

• D

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which equation best fits the data in the table?

• y = 15940x - 2423.6

• y = 267.71x² -3494.46 + 16500

• y = 16500(0.80)^x

Tags

CCSS.HSF.LE.A.2

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 is true?

• A

• B

• C

• D

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

Dana and Dona made model rockets. Dana has Rocket 1 and Dona has Rocket 2. Both launch their rockets at the same time. If both rockets continue to increase in height at their same rates, which rocket will be the highest at 40 seconds. Rocket ​ (a)   will be higher, because it is a(n) ​ (b)   function. Rocket ​ (c)   is a(n) ​ ​ (d)   function.

• 1
• Exponential
• 2
• Polynomial
• Linear
• Absolute Value
• Piecewise

Tags

CCSS.HSF-IF.C.7A

Two functions are shown below.

For what value of x will f(x) = g(x)?

f(x) = 20x – 6

g(x) = 2(3)^x

• x = 1

• x = 2

• x = 3

• x = 4

What function best fits the data in the table?

• linear

• exponential

• quadratic