# graphs question 2

• Jan 24th 2009, 04:05 PM
amathgizzard
graphs question 2

1. Determine the number of times the graphs of f(x)=2^x3-4^x+1 and g(x)-3^x-2 =intersect for x between -5 and 5. Enter your answer as a simple number such as 0, 1, 2 etc.
(Hint: Graph both functions by placing one of them in Y1 and the other in Y2.)

2. A breeding group of beavers is introduced into a protected area. After t years the number of beavers in the area is modeled by the function
N(t)= 54/0.35+0.68t
1. How many beavers were initially introduced?
2. Estimate the number of beavers after 5 years.
3. Determine the change in the beaver population between t = 5 and t = 10.
(Note: All answers are whole numbers.)

1.
2.
3.
• Jan 24th 2009, 04:10 PM
mollymcf2009
f(x)=2^x3-4^x+1 and g(x)-3^x-2

First, I need to clarify what the functions are. It is hard to tell what you've got here.

Is that
$f(x) = 2^{x^{3}}-4^{x+1}$ and $g(x) = -3^{x-2}$ ?
• Jan 24th 2009, 04:19 PM
amathgizzard
yes thats correct
• Jan 24th 2009, 05:20 PM
mr fantastic
Quote:

Originally Posted by amathgizzard
1. Determine the number of times the graphs of f(x)=2^x3-4^x+1 and g(x)-3^x-2 =intersect for x between -5 and 5. Enter your answer as a simple number such as 0, 1, 2 etc.
(Hint: Graph both functions by placing one of them in Y1 and the other in Y2.)

Mr F asks: Did you graph them ....?

2. A breeding group of beavers is introduced into a protected area. After t years the number of beavers in the area is modeled by the function

N(t)= 54/0.35+0.68t

1. How many beavers were initially introduced?

Mr F says: Substitute t = 0.

2. Estimate the number of beavers after 5 years.

Mr F says: Substitute t = 5.

3. Determine the change in the beaver population between t = 5 and t = 10.
(Note: All answers are whole numbers.)

Mr F says: Calculate N(10) - N(5). N(5) has been found from part 2.

1.
2.
3.

In the beaver question you are substituting values of t into the rule. Use your calculator to get the value of N.