### Sample 3rd Midterm

Skip to 5, 6

1.
Graph *y* = 2*x* - 3.

2.
What is the slope of the line joining (2, 3) and (4, 1)?

3. What is the equation of the line in #2?

4. Suppose
that you after 3 months you have $350 in your account and after 7
months you have $650.

- a)
Let x denote the number of months the and let y denote the amount
of money in the account. Find a linear equation which will predict
how much money you will have in the account as a function of the
number of months
- b)
Graph this function.
- c)
Use this function to determine how much money you will have after
12 months.

5.
Draw the
graph
of

*y* = *f*(*x*) = *x*^{2} + 2*x - *8
- a)
What is the y - intercept?
- b)
What are the roots?
- c)
What are the coordinates of the vertex?
- d)
Write the equation in standard or vertex form.
- e)
Solve for
*x*

*x*^{2} + 2*x - *8__>__ 0
6.
Draw the
graph
of

- a)
What is the
*y*-intercept?
- b)
What are the roots or
*x*-intercepts?
- c)
Where are the vertical asymptotes?
- d)
Are there any horizontal asymptotes and if so where are they?
- e)
Solve for
*x*.

In 7 and 8, solve for *x* and check

7.

8.

9. Graph *y* = 1.5^{x}.

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