10 College Algebra Problems

Please see attached file. Full work needed with solutions.

Thanks.

Show

y

our work on all the problems.
1. Find the midpoint of the segment with endpoints (

5

, –2) and (7,

4

).
2. The point (4, –1) is on a circle with center (7,

3

). Find the length of the radius of the circle.

3. Simplify:

8

5

–

3

-4

y

x

4
y

x

32

–

a.

Find the slope-intercept equation for a line with slope 5 and which passes through the point (1, –2).

b. Find the slope of the line through the points (8, 1) and (7, 3).

5.
Find the domain of the functions:

a.
2

x
3

f(x)
+
=

b.
5

6x

–

x
1

f(x)
2
+
=

6. Determine whether the graph of y = 3 + x2 is symmetric with respect to the x-axis, the y-axis, or the origin.
7. A salesperson earns a base salary of $2,000 per month and a commission of 5% on the amount of sales made. If the salesperson has a paycheck of $3,006 for one month, what was the amount of sales for the month?
8.
For x values in what interval (s) is the function increasing?

9.
a. Given f (x) = 4/x2 and g(x) = 3 – 2x, find the composite function (f o g)(x) and simplify.
b. Write the equation for a function that has a graph with the given characteristics.
The shape of y = |x| but stretched vertically by a factor of 2 and shifted right 3 units.
10.
a. Solve for n: 2(n – 1) = 3(n + 5)

b. Find the zero of the function f(x) = 8 – 2x

_1265564977.unknown

_1265565293.unknown

_1265563822.unknown