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Graphs and Functions

Equation of a conic section

Identify the type of graph that each equation has without actually graphing. x=3y^2 + 5y - 6 Equations may need to be simplified first.

Slope of a roof

A roof rises 7.25 ft over a horizontal distance of 13.71 ft. What is the slope of the roof to the nearest hundredth? A) 1.89 B) 0.53 C) 1.87 D) 0.77


Please answer the following questions ASAP: Match each description of a graph with an equation. The graphs are all described in relation to the graph y = x^2 shifted 3 units upward shifted 3 units to the left shifted 3 units downward stretched out and flipped upside down shifted 3 units to the right

Quadratic function

Given the quadratic function (see attached file) a.) Does the graph open up or down? b.) What is the equation of the axis of symmetry? c.) What are the coordinates of the vertex? d.) Give the y intercept e.) Give the x intercept(s) f.) sketch the graph

Math problems help

1. Find an equation of variation where y varies jointly, directly as the cube of x and cube root of z, and inversely as the square of w, and y = 4 when x = 2 and z = 8 and w = 4. 2. Perform the indicated operation and simplify. y2 + 3y y2 -y y - 1 y2 -5y + 6 (y-3)(y+2)

Rational function

For the rational function (see attached), give the intercepts and asymptotes and sketch the graph.

Math problems

(See attached file for full problem description with proper equations) --- The problems need to be solved in full and to show all work 1a) Find the following derivative implicitly with respect to x If, Y=(1+xy)^(1/xy). Find dy/dx! without simplifying the derivative. Compute dy/dx at (1, 1). b) find the formul

Revenue Functions

3. Let be a function that models the temperature change in a certain valley from 6:00 PM one day to 8:00 AM the following morning. Let the origin represent the temperature at 6:00 pm. ________________ ________________ a. Find, and then sketch, the first and second derivatives of on

Meaning of X in Slope-Point Form of a Linear Equation

The linear equation is y-2.68=m(x-2006). The slope m=(2.68-1.80)/(2006-1975)=0.0284, therefore the formula of the mean average of gas is: y-2.68=0.0284(x-2006) OR y=0.0284x-54.2904 (slope-intercept form) Can you tell me what the x represents??? Thank you

Is this function analytic

(See attached file for full problem description) Is this function analytic? Why? I can't find the value to show it.

Find the domain and graph

(See attached file for full problem description) --- 1. Find the domain of f: f(x) = (x - 1) / (1 - 4x)1/2. 2. If f(x) = x1/2 and g(x) = |x|, find fg, f/g, and their domains. 3. Given g(x) = x2 + 3 and f(x) = (x - 3)1/2, find fog(x), gof(x), and fog(-4). 4. Graph f(x) = | (x+1)2 + 2 |. Use rules of transformation

Perform and Simplify

Perform the indicated operation and simplify. See attached file for full problem description.


Coordinates of Point A are (-3, 5) What is the equation of the vertical line and the equation of the horizontal line throught Point A?

Graphs and Functions Word Problems

Question 1 Multiple Choice Question: The velocity of a particle is governed by the equation y = v(t) where t is in minutes and v(t) is in feet/minute. Find the distance this particle traveled during the first 5 minutes of its trajectory. (That is. find the distance traveled over [0, 5].) v(t) = 2t2 + t C' a) 93.33 feet C b)8

Finding the intervals of increase, decrease for a given function.

1) the function given f(x)x^3-4x^2+x+1 through its graph, one has to find the intervals of increase and decrease. This is a multiple choice question 2)Another function given in this question is h(x)=x^4-6x^2-10 Please see the attached file for the fully formatted problems.

Transform of density function

(See attached file for full problem description with proper symbols) --- The density function of r.v. X with p as a constant 0 <= p <= 1 What is the transform Mx(s)?

Distance As A Function Of Time

Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 · 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2). · v0 is the initial

Ploting a Quadratic Function

For the function y = x2 - 4x - 5, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the line of symmetry? c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k. d) Describe how this graph compares

Quadratic Functions

1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula.


(See attached file for full problem description with diagrams) --- ? For non-integer answers, use a fraction rather than a decimal. ? Include o the formula with substituted values. o the final calculated answer with units. a) Given the above graph, identify the graph of the function (line, parabola, hyperbola, o