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1. Use the graph of f(x)= x^ to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).F(x) = x^
Give the following functions and Description of transformation and plot the graph of each.
a) G(x) = (x-2)^
b) H(x)= x^ -2
c) i(x) = (x+3)^
d) j(x)=(x+1)^+ 3
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) F(x) = 4x^ - 7x+3
b) G(x) = 10 / x+7
c) F(x) = sqrt( 4x-16)
3. Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.
a) Find the vertical asymptote of the function f(x) = 4/ x + 5
b) Find the horizontal asymptote of the function g(x) = 5x^-4/ x+1
c) Find the vertical and horizontal asymptotes of the function f(x) = 3x - 1/ x+4
d) Find the vertical and horizontal asymptotes of the function g (x) = x+7/x^ - 4
A piece of florist's wire 7/8m long is to be cut into 14 pieces of the same lenght. What is the lenght of each piece? (I am having problem solving this formula also, can you show your formula is your answer is different from mind?)
What makes this problem challenging (if not for you, for others)? Can you provide an algorithm for solving this problem?
Suppliers of transistor radios will market 10,000 units when the unit price is $20 and 62,500 units when the unit price is $35. Determine the supply function if it is known to have the form
Solve the given system by the substitution method.4x + y = 217x - 2y = 18
Using rules of absolute value function.
Find the domain and range
a in electron-volts how much work does an ideal battery with a 12.0 v emf do on an electron that passes through the
A copper sphere has a diameter of 40 mm at 0 degrees C. If the coefficient of linear expansion is 0.000017 /K, by how much will its volume increase when the temperature is raised to 100 degrees C?
Given that it takes 1.75 ms to travel from one track to the next of a hard drive; that the arm is originally positioned at Track 15 moving toward the low- numbered tracks;
Let p be a prime number and G a group of order with identity element e. let and be a subgroup of G. prove that U is cyclic
Calculate the future value of the investment. You must use the advertised interest rate, the number of compounding periods per year, and the time the funds will be invested.
The following table represents weekly sales of a product (in $1,000s). Forecast sales for week 5 using exponential smoothing with a smoothing constant of 0.4.
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