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# Graphs and Functions

### 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

### Population Growth : Graphing, Trends and Forecasting

MATH 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) Decide on a name of a rural to

### System of equations

Need help answering these questions. Please see attached. I need to see how to solve the system of equations by graphing and checking the estimate of the solution. Please help, I need to know this by tomorrow.

### 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

### Slope and intercept

I need help with the attached study questions. They are all y and x slope intercept. I am having a hard time understanding these. Please help.

### 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

### Explanation of slope.

Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?

### Functions : Parabolas, Vertex, Asymptotes and Domains

(MTH133 - Unit 4 - Individual Project - A) 1) State the domain of the following and provide a brief explanation for your answer: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the funct

### Find the function V that represents the volume of the box in terms of x ...

An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x.

### Linear Equations and Population Growth Per Year

Suppose that the amount that your town's population grows each year is fixed (or constant). Choose the amount of population growth each year. (Hint: Choose a whole number for your growth rate, rather than a percent.) A) Year(t) Population (P) t=0 (2010) t=1 (2011) t=2 (2012) t=3 (2013) t=6 (2016) B) Find a linear

### 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 = &#8722; 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 &#8722; y = 4 2x &#8722; y = 3 Problem # 70 Solve

### Function as a Set of Ordered Pairs

Give an example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 any four integers between -12 and 5.

### Graph Interpretation: Solving Example Equations

I have a few questions that I need help with and one that I need to check. These include calculation with compound interest, determine if graph is one on one function and solve equation. Please see the attachment.

### Determining if Lines are Parallel, Perpendicular or Neither

Determine if the following pairs of lines parallel, perpendicular or neither. L1 = line 1, L2 = line 2 L1 through (-3,-2) and (1,3) and L2 through (0,3) and (4,8) L1 with equation x + 2y = 6 and L2 through (0,3) and (9,0)

### Finding Slope and Y-intercept

What is the slope and y-intercept of each of the following equations? 5x - 2y = 10 y - 3 = 2/3x + 7 x = 4 y = 5

### Solution for slope problem and grade of roof

Find the slope if it exists; (-7 , 1/2) and ( - 3, 1/2) m = The grade of the roof is; A roof rises 1.1 feet vertically and 11 feet horizontally. What is the grade of the roof?

### 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

### How to Graph a Linear Equation and Find Formulas

Please see the attached file for the fully formatted problems.

### Fixed Point Homeomorphism

Hello, can someone please help me with the following problem: Let f : [a, b] -> [a, b] be a homeomorphism such that f (a) = b and f (b) = a. Prove that f has exactly one fixed point.

### Analyzing a rational function

Please see the attached file for the fully formatted problems. Analyze and sketch the graph of f(x) = 2(x^2-9)/(x^2-4)

### Graphs and equations.

Which of the ordered pairs is a solution for the equation 4x - 2y = 8? A) (0, 4) B) (-2, 0) C) (-2, -4) D) (0, -4) Which of the ordered pairs (3, 1), (0, -4), (-4, 0), (-3, -7) are solutions for the equation x - y = 4? A) (0, -4), (-4, 0), and (-3, -7) B) (-4, 0) and (-3, -7) C) (0, -4) and (-3, -7) D)

### 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

### Least Squares and Scatterplot

See attached file. Description is in attachment Sketch a scatterplot data Let s represent salary and let t represent year. The least squares regression line that best fits this sata set is s = 13.199t- 25,812. Sketch this line on the graph with the scatterplot and describe what you see. Compare this line with the li

### Plotting Graphs and Identification of Graphs

Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer. y = 4^x y = log4x Plot the graphs of the following functions. Scan the graphs and post them to the Facilitator along with your response. 1. f(x) = 5x 2. f(x) = 4x+2 3. f(x) = (1/3)x 4. f(x

### Totient Function Proof

** Please see the attached file for the complete problem description ** For n in Z, n>=2 let phi n denote Euler's totient function.....

### 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