Comparing Functions

The table below represents the function F. The equation that represents this function is

• F(x) = 3^x

• F(x) = 3x

• F(x) = 2^x + 1

• F(x) = 2x + 3

The range of the function defined as y = 5^x is

• y < 0

• y > 0

• y ≤ 0

• y ≥ 0

If f(x)=3^x and g(x)= 2x + 5, at which value of x is f(x) < g(x) ?

• -1

• 2

• -3

• 4

The graph of the equation y=ax² is shown below.

• wider and opens downward

• wider and opens upward

• narrower and opens downward

• narrower and opens upward

The table below shows the average yearly balance in a savings account where interest is compounded annually. No money is deposited or withdrawn after the initial amount is deposited.

Which type of function best models the given data?

• linear function with negative rate of change

• linear function with positive rate of change

• exponential decay function

• exponential growth function

Krystal was given $3000 when she turned 2 years old. Her parents invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expressions can be used to determine how much money Krystal had in the account when she turned 18?

• 3000(1 + 0.02)¹⁶

• 3000(1 - 0.02)¹⁶

• 3000(1 + 0.02)¹⁸

• 3000(1 - 0.02)¹⁸

Mario's $15,000 car depreciates in value at a rate of 19% per year. The value, V, after t years can be modeled by the function V = 15,000(0.81)^t. Which function is equivalent to the original function?

• V = 15,000(0.9)^9t

• V = 15,000(0.9)^2t

• V = 15,000(0.9)^t/9

• V = 15,000(0.9)^t/2

The function V(t) =1350(1.017)^t represents the value V(t), in dollars, of a comic book t years after its purchase. The yearly rate of appreciation of the comic book is

• 17%

• 1.7%

• 1.017%

• 0.017%

The equation A= 1300(1.02)⁷ is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?

• 0.02% decay

• 0.02% growth

• 2% decay

• 2% growth

Which table of values represents a linear relationship?

• 
• 
• 
•