Part 1 | Test 2 | Time: 3 hours |
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- Find the equation of the line passing through the points
(2,7) and (6,-5). Write the answer in the
standard form of the line
*ax*+*by*+*c*=0, where a, b, and c are integers and*a*>0.

**Answer:**. - Find the domain and the range of the function .

**Answer:**Domain:*x*>10, Range: . - Find the inverse of the function on the
interval .

**Answer:**. - Find the midpoint of the line between the points
(2,7) and (5,-5).

**Answer:**Midpoint: . - Five gallons of a mixture is 60% water by volume. Determine the number of gallons of water that must be added to bring the mixture to 75% water.

**Answer:**Three gallons need to be added. - Factor the expression completely over the set of
rational numbers.

**Answer:**. - Find the
**exact**point(s) of intersection of the graphs of

**Answer:**Points of intersection:(4,6) and (-1,1) - Rewrite the fraction
as a simple fraction in reduced form.

**Answer:**. - Find the exact distance between the two points
(5,7) and (7,5).

**Answer:**distance: . - What is the slope of a line:
- parallel to 7
*x*-21*y*+11=0 ?

**Answer:**. - perpendicular to the line 7
*x*-21*y*+11=0 ?

**Answer:**.

- parallel to 7
- On what interval(s) is the function increasing?

**Answer:**interval: . - Find the maximum value of the function .

**Answer:**Max value: 20. - Solve the equation for x.

**Answer:**. - If you shift the graph of so that it is superimposed on the graph of
*f*(*x*-5)+3, where will the shift take the point (1,-3) on the graph of ?

**Answer:**new point: (6,0). - If and , find . Simplify your answer.

**Answer:**. - Solve the equation

**Answer:**The equation has no solutions. Note that*x*=-2 is**not**a solution. - If (2,7) is a point on the graph of an even function, name one
other point on the graph. If (3,-8) is a point on the graph of an odd
function, name one other point on the graph.

**Answer:**The other point on the**even**function is (-2,7). The other point on the**odd**function is (-3,8). - How can you tell from a graph of a function whether the function
is one-to-one?

**Answer:**You can tell by using the Horizontal Line Test to make sure that every horizontal line only intersects the graph at most once. - Why can't you find the inverse of without
restricting the domain?

**Answer:**Because the graph of*f*(*x*) is a parabola, and a parabola is not a one-to-one function on its entire domain.

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