Comparing Exponential and Linear Growth

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

What type of function is f(x)=2(3^x) ?

• Quadratic

• Linear

• Exponential

The graph of this function is a curve going up really fast or down really fast. 

• Linear 

• Exponential

• Neither

What type of function is this equation:
y=  4^x+1

• Linear

• Exponential

• Neither

Which function increases faster: f(x) = 4x or g(x) = 3^x ?

• f(x)

• g(x)

• Neither - they increase at the same rate

• A

• B

• C

• D

Would you ALWAYS pick an exponentially growing account over a linearly growing account?

• YES, of course!

• No, because...

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table. Which statement is TRUE?

• G(2) > H(2)

• H(1) < G(1)

• G(3) < H(3)

• H(0) = G(0)

Which function is growing the fastest?

• Blue

• Red

• They grow by the same factor.

• The cities each had populations of 5 million people in 2010.

• The cities will each have populations of 10 million in 2025.

• Paytonville's population experiences linear growth, and Appleton's population experiences exponential growth.

• Both cities exhibit exponential population growth.

• Paytonville's population experiences exponential growth, and Appleton's population experiences linear growth.