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1. Using completing the square to describe the graph of the following function. Support your answer graphically.
f(x) = -2x2 + 4x + 1
2. Graph the function: g(x) = (x-2)3
3. Determine the quadratic function f whose vertex is (3, -2) and passes through (2, 1)
4. Graph the line containing the point P and having slope m: P = (2, -7); m = 0
5. Graph the function and state the vertex, the axis of symmetry, the intercepts, if any: f(x) = x2-6x+5
What is the vertex?
What is the axis of symmetry?
What are the intercepts, if any?
Solving equation and rationalizing the denominator
explain the four-steps for solving quadratic equations. can any of these steps be eliminated? can the order of these
Determine where the demand is elastic, inelastic, and of unit elasticity with respect to price. Use the results of part (a) to determine the intervals of increase and decrease of the revenue function and the price at which revenue is maximized.
coffee palace s manager joe felan suspects that demand for mocha latte coffees depends on the price being charged.
Factor of the given polynomial
During the summer, a group of students builds kayaks in a converted garage. The rental for the garage is $1,500 for the summer, and the materials needed to build a kayak cost $125. The kayaks can be sold for $275 apiece.
you must show your work on each of the following questions.rewrite y x2 14x 29 in general form.rewrite y 3x2 - 24x
How would you check polynomial division? Explain your answer. Explain, in your own words, the product rule of exponents. Why does it work? Give examples.
Simplify the two rational equation.
Find the equation by isolating the natural logarithm.
Find x,y using substitution method.
Verify the inverse relationship using composition
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