Question 1

As x approaches negative infinity, what does f(x) approaches?

Accepted Answer

-4

Answer

-$\infty$

Answer

0

Answer

$\infty$

Question 2

As x approaches positive infinity, what does f(x) approaches?

Accepted Answer

$\infty$

Answer

-$\infty$

Answer

-4

Answer

0

Question 3

The function has an asymptote of 5.  What is the end behavior of the function?

Accepted Answer

As x decreases, f(x) approaches, but never reaches, 5.  As x increases, f(x) decreases.

Answer

As x increases, f(x) approaches, but never reaches, 5.  As x decreases, f(x) decreases.

Answer

As x decreases, f(x) approaches, but never reaches, 5.  As x increases, f(x) increases.

Answer

As x increases, f(x) approaches, but never reaches, 5.  As x decreases, f(x) increases.

Question 4

Tony is comparing the graphs of $f(x)=6^{x}$  and $g(x)=3^{x}$.  Which statement is NOT true.

Accepted Answer

$g(x)=3^{x}$ is steeper than $f(x)=6^{x}$

Answer

$f(x)=6^{x}$ is steeper than $g(x)=3^{x}$

Answer

Both $g(x)=3^{x}$ and $f(x)=6^{x}$ have the same asymptote of y=0

Answer

Both $g(x)=3^{x}$ and $f(x)=6^{x}$ have the y-intercept of (0,1)

Question 5

Estimate the y-intercept of the function.  What does the y-intercept represent in context?

Accepted Answer

In 0 weeks, there will be 500 bacteria.

Answer

There is no y-intercept.

Answer

In 0 weeks, there will be 3,000 bacteria.

Answer

500 bacteria

Question 6

The value of the car, C(t), changes over time in years, (t).  What does the y-intercept represent in context?

Accepted Answer

The value of the car is $18,000 in year 0.

Answer

The value of the car decreases over the years.

Answer

The value of the car is $4,500 in year 2.

Answer

$18,000

Question 7

Find f(5).  Explain what this value represents in the given context.

Accepted Answer

In 5 weeks, the population of the bacteria will be 16000

Answer

16000

Answer

In 0 weeks, the population of the bacteria will be 500

Answer

16000 bacteria

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