Evaluating and Graphing Functions and Trigonometry Word Problems

(1) For the function: (see attached)
a) Give the y values for x = -1, 0, 1, 2, 3, 4.
b) Using these points, draw a curve.

(2) For the equation , perform the following:
(a) Solve for all values of x that satisfies the equation.
(b) Graph the functions y = x and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:
Points of intersection:

(3) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem, , where c is the length of the hypotenuse (the side opposite the 90° angle). Find the length of the hypotenuse when the other two sides' measurements are 6 feet and 8 feet.

(4) Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?

(5) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.

Evaluating and graphing functions and trigonometry word problems are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

A recent land survey was conducted on a vacant lot where a commercial building is to be erected . The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams

A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back bea

Y = 2x - 1
- y = (-3/4)x + 5
- y = x2 - 4
- y = -3x2 - 6x - 5
Label each axis and all intercepts.
When I try to complete the problem and graph my line is not straight so I am doing something wrong. For the first problems I got (.5,0) and (0,-1). I need help with the steps.

A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees. How far from tower A is the fire? From tower B?

A 30-foot ladder is leaning up against a roof that is 20 feet above the ground. How far from the building is the foot of the ladder? What is the angle between the ladder and the ground?
A few words on syntax when dealing with trigonometry: We will use upper-case letters for the functions, and enclose the argument in ( ). Use

Please see the attached file for the diagram associated with this problem.
Question: An airplane is flying at an altitude of 8 miles towards a point directly over an observer. If the speed of the plane is 615 miles per hour, find the rate at which the angle of observation, theta, changing by at the moment when the angle is 2

Sketch the graph of the polynomial function f(x)= x^4-2x^3-2x^2+6x-3 including leading term to graph behavior, listing domains, y-intercepts, label exact values of zeros, their multiplicities and the behavior at the x-intercepts. Give relative minimum or maximum points.

A. Given f(x) = -3x + 7
1. Graph f(x).
2. Label the graph.
B. Given f(x) = -3x2 + x - 5
1. Graph f(x).
2. Label the graph.
Note: To draw the graph, you may use one or a combination of the following:
- A spreadsheet program, such as Excel (*.xls)
- A graphics program, such as Paint (*.jpeg, *.gif)
- A word