Reference no: EM13119615
1. Given f(x)= 4x-7, g(x)= 2x - x2, and G(x)= 3/x/+2, find f(-1) + g(3)
2. Determine if the equation y2= x2 defines y as a function of x. Justify your answer
3. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2]
4. The volume of a right circular cone is given by the formula V=1/3 pi r2 h. If an ice cream cone has a volume of 14 cubic inches, and the radius plus the height equals 6 inches, what is the radius (in inches)? Give the answer to two decimal places
5. Assume f(x)= 3x3 + 2x + 1 and g(x)= 3(-x +2)3 +2(-x +2) + 4. Which sequence of transformations will change the graph of f into the graph of g?
6. Determine f-1 for f(x)= x-6/ x+4. Show your work
7. Find the inverse of the give function. Show your work
f(x)= square root of x2 + 7
8. Graph the given function and its inverse
f(x)= x2 + 2 for x >or equal 0
9. Find the domain of f(x)= square root of x + 3. Express the answer in interval notation
10. Let f(x)= x3 - 4 and g(x)= square root3 of x + 4. Show that (f o g)(x)=x and (g o f)(x)=x. Show all work
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Compute the distribution using possibilities
: The other measurement is below 10, i.e. where high measurements tend to cancel low measurements. Use these possibilities to compute the distribution of when n = 2(i.e., find , , etc.).
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Difference between domain and range
: What is the difference between domain and range? Describe a real life situation that could be modeled by a function.
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What is the probability at least one is math phobic
: About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
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How many kj of heat are produced
: The production of iron and carbon dioxide from Iron (3) oxide and carbon monoxide is an exothermic reaction? how many kj of heat are produced when 3.40 mol Fe2O3 reacts with excess of CO.
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Transformations and inverses
: Determine if the equation y2= x2 defines y as a function of x. Justify your answer. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2]
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Generate an aggregate cell mass equal to the mass
: How long would it take one starting Ecoli cell growing at a constant generation time (g) =20 mins (With a growth rate, k, of 3 hours) to generate an aggregate cell mass equal to the mass of the earth? Assume no nutrient limitation or growth inhibi..
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Factors affecting blood pressure differ users and nonusers
: What variables that affect blood pressure might confuse the comparison of average blood pressures for users and nonusers? That is, what factors affecting blood pressure might differ for users and nonusers. Explain.
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Find a rock that contains 20 units of hamptonium
: Hamptonium is a radioactive substance that decays into two parts Monctonium and one part St. Johnite (i.e. 3 units of Hamptonium decays into 2 units of Monctonium and 1 unit of St. Johnite) .
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Graphing and solving systems of inequalities
: Let's say you are a hospital dietician. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat.
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