Exponential Function Characteristics

Which function is best represented by the graph?

Tags

CCSS.HSF.LE.A.2

The table shows the value in dollars of a motorcycle at the end of x years.

Which exponential function models this situation?

• The initial balance in the account was $1,057.

• The balance in the account decreases at a rate of 94.3% each year.

• The balance in the account after 1 year is $5,000.

• The balance in the account increases at a rate of 5.7% each year.

Tags

CCSS.HSF.LE.B.5

• The insect population decreased by 25 insects each month.

• The insect population increased by 25 insects each month.

• The insect population decreases at the rate of 28% each month.

• The insect population increases at the rate of 28% each month.

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

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

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

• Exponential Growth

• Exponential Decay

• Linear

• None

What is the domain and range of the exponential function shown?

• Domain all real numbers and range y > 1.

• Domain all real numbers and range y > 2.

• Domain all real numbers and range y < 2.

• Domain x > 2 and range y > 2.

What is the asymptote of the exponential function shown?

• y = 6

• y = 5

• y = 10

• y = -5