Homework Help for Algebra

In each of the following, assume that f:Z rightarrow Z. Then, identify whether each is a function, onto function, one-to-one function or bijection: f(x) = f(x) = {x/2 x is even 2x-1 x is odd

Let W1 and W2 be two subspaces of a vector space V. Show that W1 W2 is also a subspace of V. Is W1 W2 a subspace of V?

Use the graph to solve the problem The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after 1.5 s? 275 ft 300 ft 225 ft 250 ft

Give the domain and range of the relation. y = x2 + 2 domain: (-infinity , infinity ); range: (-2, infinity ) domain: (-infinity , infinity ); range: [2, infinity ) domain: (-2, infinity ); range: (-infinity , infinity ) domain: (2, infinity ); range: (-infinity , infinity ) The graph of y = f(x) is given. Use the graph to find the function value. Find f(4) 15 4 -1 None of these

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. x2 + y2 + 14x- 4y+28 = 0 yes no; the graph is the point (-7,2) no; the graph is the point (7, -2) no; the graph is nonexistent Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (1,2), (-11,10), and (-7, -14) respectively. The epicenter of an earthquake is determined to be 5 units from X, 15 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located? at (-3,0) at (-1,-3) at(-2,-2) at (-1,-2) Find the center-radius form of the equation of a circle with center (2,9) and tangent to the x-axis. (x + 2)2 + (y + 9)2 = 81 (x - 2)2 + (y - 9)2 = 81 (x + 2)2 + (y + 9)2 = 4 (x - 2)2 + (y - 9)2 = 4

y+x = 4;(l, ),(4. ),(3, )

Use the graph to determine the equation of the circle in center-radius form. (x-3)2 + (y-3)2 = 4 (x - 3)2 + (y - 3)2 = 2 (x + 3)2 + (y + 3)2 = 2 (x + 3)2 + (y +3)2 = 4

(X - 1)2 + (y + 3)2 = 9

graph the circle. x2+y2 = 81

Provide an appropriate response. If a vertical line is drawn through the point (1,2), where will it intersect the x-axis? (0,1) (1,0) (0,2) (2,0) Find the center-radius form of the equation of the circle. center (0,0), radius 5 x2+y2=10 x2+y2= x2+y2 = 25 x2 + y2 = 5 center (4,5), radius 11 (x - 5)2 + (y - 4)2 = 11 (x + 5)2 + (y + 4)2 = 11 (x - 4)2 + (y - 5)2 =121 (x + 4)2 + (y + 5)2 = 121

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. midpoint (2,4), endpoint (-2,1) (6,7) (4,9) (6,-2) (-10,-5) The graph shows an idealized linear relationship for the average monthly payment to retirees from 1995 to 1999. Use the midpoint formula to estimate the average payment in 1997. Average Monthly Payment to Retirees 480 $14 $466 $500

Determine whether the three points are the vertices of a right triangle. (-6,-4), (-2,-4), (-2,2) Yes No Determine whether the three points are collinear. (-13,5), (-8,8), (-18,2) Yes No

Choose the one alternative that best completes the statement or answers the For the points P and Q, find the distance d(P, Q). P(7.6), Q(-7, -7) 182 1 P(6, -6), Q(4, -2) 6 12 12 2 For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(7,9), Q(3,7) (4,2) (5,8) (2,1) (10,16)