
Question 21 Given that f(x)= 3x + 6 x - 4 Determine all its asymptotes. Question...
4. f(x) = 3x^-4; [1, infinity) is a probability density function on the given interval. Round answers to the nearest hundredth. a. Find the expected value b. Find the variance c. Find the standard deviation
7. Given f(x)=_x - 2x x--3x-4 a. Why does f define a function? b. Find Dom fand Range f. c. Graph y = f(x) in detail. Include intercepts, symmetry, and asymptotes, including limit behavior for the asymptotes. d. Find the point where the graph crosses the horizontal asymptote.
Given f(x) = 3x + 4, g(x) = x a) Find (fºg)(x) b) Write the domain of (f • g) in interval notation.
Question 7 7x - 21 Given f(x) = - x2- 7x + 12 a. Determine the domains of f(x) and g(x). b. Simplify f(x) and find any vertical asymptotes. c. Complete the table. ix) g(x)
3) Given the following 3x-16x +14x-49 f (x) x-Sx What is the equation of the vertical asymptotes? a) b) What is the equation of the horizontal asymptote? (x-7)(x -21x+70) (x-5)'x ')= c) f'(x)-0x 7, x = 4.2, x 16.8 Determine all the partition numbers for f' create a sign chart on f' f(4.2) 3.55 (7)=3 and f(16.8) 2.97 d) Use the above information to determine any local maximums or minimums.
3) Given the following 3x-16x +14x-49 f (x) x-Sx What...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
Question 24 Given that f(x) = – In(x-3)+ 1. Determine its domain, in interval notation. Question 25 Given the equation 7x2 + 4y? – 28 = 0. Determine it vertices, as points.
Ex3 Determine the slope of the secant of f(x) = 2x1 between x = -1 and x = 3 Ex. 4 Determine the average rate of change of f(x) = -3 cos (x + - 5 for x € E SPA 19 Ex You invest $1000 in a savings account that pays 2.4%/a, compounded quarterly. Calculate the rate at which the amount is growing over the first 10 years. Ex. 6 Determine the value of a so that the average...
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Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
Problem 4-23 (algorithmic) :3 Question Help Suppose that $2,000 is placed in a bank account at the end of each quarter over the next 11 years. What is the future worth at the end of 11 years when the interest rate is 14% compounded at the given intervals? (a) Quarterly (b) Monthly (c) Continuously (a) The future worth will be $ 202477. (Round to the nearest dollar.) (b) The future worth will be $621119. (Round to the nearest dollar.)