Who can do this Algebra Assignment

1. For the points P and Q, find (a) the distance d(P,Q) and (b) the coordinates of the midpoint of the segment PQ.

P(–4, 3), Q(2, –5)

1. Determine whether the three points are collinear.

(–1, 4), (–2, –1), (1, 14)

1. For the following equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation.*

1. (a) Find the center-radius form of the equation of the circle, and (b) graph it.*

center (–3, –2), radius 6

1. Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph.

1. Decide whether the relation defines a function, and give the domain and range.

1. Letand. Find and simplify each of the following.

1. Use the graph of to find each function value: (a), (b), (c) , and (d)

1. Determine the intervals of the domain for which the function is (a) increasing, (b) decreasing, and (c) constant.

1. Graph the linear function.* Identify any constant functions. Give the domain and range.

1. Find the slope of the line satisfying the given conditions.

through and

1. Graph the line passing through the given point and having the indicated slope.* Plot two points on the line.

1. through

1. through , undefined slope

1. Write an equation for the line described. Give answers in standard form.

1. 1. through (2, 4),

1. 1. through

1. 1. through undefined slope

1. Give the slope and the y-intercept of the line.

1. Write an equation (a) in standard form and (b) in slope-intercept form for the line described.

a. throughparallel to

b. throughperpendicular to

1. Determine whether the three points are collinear by using slopes.

1. Refer to graphs A–I to answer the following questions.

1. 1. Which one is the graph of ? On what interval is it increasing?

1. 1. Which one is the graph of ? What is the value of y when x = 1.5?

1. 1. Which graphs of functions decrease over part of the domain and increase over the rest of the domain? On what intervals do they increase? decrease?

1. For the following piecewise-defined function, find (a), (b), (c) , and (d) .

1. Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these.

1. Graph the function.*

1. Let and . Find each of the following.

1. For the following function, find (a) (b) , and (c) .
   

1. Given functions f and g, find (a) and its domain, and (b), and its domain.

,

WA 3, p. 5