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Graphs and Functions


1. Calculate the value of the function at the designated input and explain the result. C(x) = 45.50x, where C(x) is the cost of buying x radios a.Find the cost of buying 5 radios. b.Find the cost of buying 8 radios. c.Find the cost of buying 15 radios 2. In the following table R(t) is the quarterly revenue for an inter

Different Problems

Week 4/2 Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: 1. Integers 2. Rational numbers 3. Irrational numbers Week 4/ 3 1. How many solutions exist for a quadratic equation? How do we determine algebraically whether the solutions are real or complex? 2. Wh

Slope of a Line Equation

1. If line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /. 2. How do I write the equation y=2/3x-3 in standard form using only integers and a positive coefficient for x. 3. What is the equation if a line /goes through (-3,-1) and (-1,4)? 4. What is the equation in slo

Functions and polynomials

Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial. Given the polynomial f(x) = 2x3 + 5x2 - x - 5, answer the following questions: Graph the polynomial. What is the degree of the polynomial? Explain the constant in the polynomial and how

Explain what is meant by a function.

1. Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions. 2. How many x-intercepts can a function have? Give a specific example and state the rule that backs up your answer. 3. Explain how the vertical line test works t

Functions, Graph and Equations


Functions, Graphs, Domains and Asymptotes

Please refer to the attached file for the formatted homework problem set. 1. State the domain of the following: a) f(x) = square root(x+4) b) g(x) = (2x + 1) / (x - 7) c) h(x) = 3x^2 + fx - 3 d) l(x) = 2x + 3 e) m(x) = 3 / (x^2 + 7) 2. Suppose the graph of y = x^2 is shifted to obtain each the following gra

Bar Graphs, Pie Graphs and Organizing Data

Problems 1. The monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005. Year payment 1999 $578 2000 613 2001 654 2002 675 2003 706 2004

Solving system of equations by graphing

Solve each system of equations by graphing: 1). y=x-4 and y= -2x+2 2). Y=2x-3 and y=-x-6 3). Y=3x-2 and y=1/2x+5 4). Y=1/3x+1 and y=-2x+8 5). X+y=-3 and x+y=4 6). Y-x=0 and 2x+y=3

Aggregate Expenditure

Explain how the aggregate expenditure function shifts in response to changes in each of the following variables: a. The real interest rate increases. b. Consumer confidence decreases. c. Higher taxes are imposed on business profits. d. The economies of many countries in the rest of the world go into recessions.

Functions and Population Growth

MTH133 Unit 4 Group Project - Name: Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population. You will graph the function for each population scenario and use your model to make some decisions about the population. 1) 1) D

Explanation of slope !!!

1) Vertical line = infinity (or no slope) "I say" "Slope is always defined as rise/run. In a vertical line, you rise infinitely, but you have no run, so you have some number as your rise/0. Anything divided by 0 is undefined, so the slope of a vertical line is undefined." Response....saying I am wrong No slope is not t

Evaluating Functions

In three sentences or less, describe how we evaluate a function. A brief definition of a straight line graph is a linear function of the form y = mx + c, where c and m are constants. Although you do not actually see the function written out, many professions use a straight line graph. Name one profession that use a straight l

Solving a System by Graphing, substitution & elimination

Problem #20 Solving a System by Graphing Solve each system by graphing. y = − 2/3x 2x + 3y =5 Problem # 56 Solving by Substitution Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. 2x − y = 4 2x − y = 3 Problem # 70 Solve


Find the coordinates of the x-intercept. -x + 5y = -15

Graphs & Functions

Find the equation for each of the following items below: a. A line that passes through (6,2) and has a slope of 2. b. A line that passes though the points (2,4) and (8,16) c. A line that passes through (7,3) and has a slope of -1. d. A line that passes through (1, 1) and is perpendicular to the line 3x+4Y=12. e. A

Population and parameters

1. Parameter is used to refer to a ?_______ value 2. A population is all of something about which an ?_______is to be made. 3. Statistics may be used to refer to a ? ______value. 4. When we want to minimize the effect of one or more extreme scores, we should use the ? _______ to represent the average score of the di

Purchase value using straight line depreciation/mortgage

1. The book value of a machine is $21,000 at the end of its fourth year of life and $14,000 at the end of its sixth year of life. What was the purchase value of the machine, assuming that "straight line depreciation" is being used. ("Straight line depreciation" means the decline in value is a straight line, so find the equa

Functions (30 Problems)

1. Given functions f and g, perform the indicated operations. f(x) = 7 - 7x, g(x) = -2x + 7 Find f + g. A) -9x + 14 B) 5x C) -2x + 7 D) -5x + 14 2. For the given functions f and g , find the indicated composition. f(x) = 14x2 - 9x, g(x) = 12x - 8 (f g)(1) A) 188 B) 52 C) 20 D) 136 3. Find the midpoint

Tangent line, critical points, and graphing

See attached 1) Consider . Find all values, c, in the interval [0,1] such that the slope of the tangent line to the graph of f at c is parallel to the secant line through the points (0, f(0)) and (1, f(1)). 2) Use a graphing calculator to graph the function . a) Adjust the viewing window and use the zoom and trace fe

Graphs and Graphing

Complete each ordered pair so that it satisfies the given equation. 1.) y = 2 x + 5: (8, ), (-1, ), ( , -1) Graph each equation. Plot at least five points for each equation. Use graph paper. See Examples 3–5. If you have a graphing calculator, use it to check your graphs when possible 2.)

Graphs and Functions

The rational expressions are multiplied. Simplify: Show some work. 1. ______ A. 0 B. 1 C. D. Which of the following is TRUE about the line through the points (-3, 7) and (-3, 2)? EXPLAIN/SHOW WORK. 2. _______ A. The slope is negative. B. The slope is 0. C. The slope is positive. D. The

Equations and graphing

1. multiply -2/7*3/5 2. Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 12% protein? How many pounds of the cornmeal should be in the mixture? ___ Pounds How many pounds of the soybeans meal should be in the mixture? ___ pounds

Graphing lines and inequalities

Thanks for all your help... I have understood the process on the previous elements.. the graphing is still giving me a hard time... 1) Complete the table of values for y = x/3 - 2 x || 0 | 3 | 6 . y = x/3 - 2 || | | 2) Draw the gra


See attached Solve the equation Use substitution to determine whether the ordered pair (-2, 11) is a solution of the equation x2 + y = 15. Show some work. Be sure to state your conclusion about whether the ordered pair is a solution or not. State the center and the radius of the circle represented by the equation

Graphing and Linear Equations: 15 questions

1. Simplify: 6x3 + 4x2 +5 -7x3 +9x2 -4x +5 2. Evaluate -3[10+4(2 raised to the power 3) -5)-7] 3. Solve for X: -4(x + 6)-3x = 10 + (2 - x) 4. Name the property illustrated: 4(3.7)= (4.3)7 5. Graph 3x + 4y = 12 6. Find the x- and y-intercepts of y = -5x-6 7. Put 3x + 2y = -3 8. Find the slope and the line through the point