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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
Linear equations problem
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population.
What is the difference between data and information? What is needed for business decision-making? Data, information or both? If you think data is different from information, which comes first? Data or information?
p10-1 q-111. find the point on the line segment connecting p and q that is 14 of the way from p to
Finding the new coordinates of the point P.
What do we mean by 'solution to a system of lines'? Please give an example.
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour.
The revenue of Theta Corporation is given as R=15x, where x is the number of units produced (in thousands). If the cost is how many units will have to be produced before the company breaks even?
The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
A computer can do one calculation in 1.4 x 10 exponent -7. how long would it take the computer to do a trillion 10exponent 12 calculations round to one decimal place. Give the answer in scientific notation.
What is/are the independent variable(s)? What is/are the dependent variable(s)? What would be an appropriate null hypothesis? Alternate hypothesis
Solve the following exponential equation.
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