Comparing Linear and Exponential Context

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^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

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 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).

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

Which statement is true?

• A

• B

• C

• D

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

After 9 days, approximately how many grams of this substance will exist?

• about 64244

• about 173602

• about 23774

• about 469111