Exponential Graphs Increase/Decrease

The population of a town is 20,000. It decreased at a rate of 9% per year. In about how many years will the population be fewer than 13,000?

• 3

• 4

• 5

• 6

There are 1500 bacteria in a lab dish. The populations decreases at 8% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6. Choose the best phrase to complete the statement: The population decreases ________ from day 1 to day 3 than from day 4 to day 6.

• less quickly

• at the same rate

• more quickly

• at a 0 rate

Emma has saved $6. She doubles the amount she saves each week. Does the represent an exponential function? Complete This __________ represent an exponential function, because her savings increase by a contant ____________

• does,

  rate

• does not,

  rate

• does,

  ratio

• does not,

  ratio

Write an exponential function for the set of points.

• No, exponential functions decrease when 0<x<1.

• No, exponential functions decrease when b>1.

• Yes, exponential functions increase when 0<b<1.

• Yes, exponential functions increase for all values of b.

Function g is the transformation of f(x)=2^x. Compare the graphs of the functions. What is the only one that does not apply

• They have the same domain.

• They have the same range

• The have the same y-intercept.

• They have the same asymptote.

• The function is increasing.

• The function is decreasing.

• The graph intersects the x-axis.

• The y-intercept is (0,2).

• The graph represents exponential growth, because b>1.

• The graph represents exponential decay, because 0<b<1.

• The graph represents exponential growth, because the exponent is an x

• The graph represents exponential decay, because the exponent is an x

Write an equation for the graph.