Purchase Solution

Algebra and Graphing Problems

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problems.

Algebra problems
DIRECTIONS: It is a little trickier to do online because of the graphs. For the equations/inequalities that require a graphical solution, you will have to describe what part of your graph provides the answer. If you scan in your work, then include an actual sketch of the graph and omit the description.

EACH EXAMPLE IS WORTH 10 POINTS.

1) Solve for x using BOTH methods of algebra and graphing.

2) Solve the quadratic inequality for x. Include a graph of the parabola that is associated with this inequality ( or a description of the graph ) and write a short explanation of how the graph confirms the solution. Again, be specific in your explanation here and get at the heart of this type of inequality.

3) Solve the higher-order equation to three decimal places BY GRAPHING: .

4) Solve , using the QUADRATIC FORMULA. Convert answer(s) to three-place decimal.

5) Solve by either algebraic or graphing methods.

6) Solve by either algebraic or graphing methods.

7) Solve by completing the square.

8) Motion Under Gravity: Use the equation to determine when the height of an object is 960 feet if the initial velocity is 272 feet per second. Solve either algebraically or graphically. Include all algebra to justify response if solving algebraically. Include sketch of graph and explain how you interpreted the graph to get your answer(s).

9) Graph the function and find:
a) values of the relative maximum and minimum
b) x-intervals over which the function values are increasing and decreasing; explain what your answer means by writing in complete sentences.

10) Explain how the vertical line test determines if a graph of a set of points is a function. Make reference to the definition of function in your explanation. Do not just state what the test says but actually explain why it works!

Attachments
Purchase this Solution

Solution Summary

Various graphing and algebra problems are solved. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

DIRECTIONS: It is a little trickier to do online because of the graphs. For the equations/inequalities that require a graphical solution, you will have to describe what part of your graph provides the answer. If you scan in your work, then include an actual sketch of the graph and omit the description.

EACH EXAMPLE IS WORTH 10 POINTS.

1) Solve for x using BOTH methods of algebra and graphing.

Solution:
1. Algebraic method
square both sides
6x-1=16
6x=16+1
6x=17
x=17/6
Make sure that 6(17/6)-1 is positive so that we could take square root.
6(17/6)-1=16.
So x=17/6 is the solution.
2. Graphing: graph y=4 and y=sqrt(6x-1) and find the point of intersection. Red line is
the graph of y=4, the blue is of y=sqrt(6x-1). The blue symbol is the intersection point.
The solution is the x-coordinate of this point

2) Solve the quadratic inequality for x. Include a graph of the parabola that is associated with this inequality ( or a description of the graph ) and write a short explanation of how the graph confirms the solution. Again, be specific in your explanation here and get at the heart of this type of inequality.

Solution: solve

...

Purchase this Solution


Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.