Basic Math question and answers for October 30, 2024
- Q Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.Third-degree, with zeros of -2,-1, and 3, and passes through the point (2, 9).
- Q a. Find the open interval(s) on which the function is increasing and decreasing.b. Identify the function's local and absolute extreme values, if any, saying where they occur.f(x)=x1/5 (x-16)a. On what...
- Q There's a roughly linear relationship between the length of someone's femur(the long leg-bone in your thigh) and their expected height. Within a certainpopulation, this relationship can be expressed using the...
- Q Which of the following are True about the notation f(g(x)). Check all that apply.g(x) is used as the input into f(x)The output of one function is used as the input...
- Q Suppose a homemade rocket is launched upward from a platform several feet above the ground with an initial upwardvelocity of 76 feet per second.Match each of the following prompts with...
- Q Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur.f(x)...
- Q Determine the domain of f(x) = log 2(x + 1). Choose the correct answer below. (-1,00) (-00,00) (1,000) (0,00)
- Q Maya invested her savings in two investment funds. The $3000 that she invested in Fund A returned a 10% profit. The amount that she invested in Fund Breturned a 3%...
- Q The polynomial function f(x) is graphed below. Fill in the form below regarding thefeatures of this graph.The degree of f(x) is [distinct real zeroddevenand the leading coefficient is relative extreme...
- Q Approximate each number using a calculator.(a) 173.14(b) 173.141(a) 173.14(c) 173.1415
- Q The function f(x)=3?x^5 + 6 is one-to-one.(a) Find the inverse of f and check the answer.(b) Find the domain and the range of f and f-1(a) f-(x)=(Simplify your answer.)
- Q The function f(x) =6x/x+5is one-to-one.(a) Find its inverse and check your answer. (b) Find the domain and the range of f and f-1.(a) f- (x)= (Simplify your answer.)
- Q Suppose that it is given to you thatf'(x) = (x+4) (6- x)(7- x)Then the first relative extremum (from the left) for f(x) occurs at x =The function f(x) has a...
- Q Graph f(x) = -4log6(x + 5) + 3 using transformations by first graphingthe basic logarithmic function (parent function), then the progression of transformations(in the correct order). Show at least two...
- Q Assume that a normal distribution has a mean of 20 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between...
- Q Determine the domain of the function.g(x) = 4?/1-xWhat is the domain?(Type in interval notation.)
- Q Find |x| when x = 15 and x = - 15.Both values are - 15.|15| = 15 and | - 15| = - 15|15| = - 15 and | -...
- Q 41 pointThe polynomial f (x) = -2x (x-4) (x - 5) is graphed in the coordinate plane. Which statement is correct about the graph?As a ? ?o, f(x) ? ?...
- Q Use a calculator with a key or a key to solve the following.The exponential function f(x)=576(1.032)* models the population of a country, f(x), in millions, x years after 1969. Complete...
- Q Which set of ordered pairs does not represent a function?O {(-8,-8), (9, -9), (4, 5), (4,0)}O {(5,-5), (-7, 3), (9, 3), (3,-9)}O {(-5,0), (3, -6), (5,3), (-6,3)}O {(-9, -2), (0,...
- Q Assume that a normal distribution has a mean of 27 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall below...
- Q The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 20 mph...
- Q Sketch a function on the graph below, and sketch its inverse. The function doesn't need to be complex or amazingly well-drawn, but it should be clear that you know how...
- Q Henry is buying bagels for a family gathering. Each bagel costs $0.75. Answer the questions below regarding the relationship between the total cost and the number of bagels purchased.
- Q Find the vertical asymptotes and holes for the graph of the rational function.y=(x + 7)(x - 1)/(x - 1)(x + 3)Identify any vertical asymptotes for the graph of the function....
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