2. The graphs of functions f and g are shown below. Circle your choice for each...
Let fand g be the functions whose graphs are shown below. 3 2 - -4 2 2 3 4 5 N -2 g(x) 3 4 (a) Let u(x)=f(x)g(x). Find u'(-3). (b) Let v(x) = f(x)). Find v'(4).
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
5 Consider the functions f and g whose graphs are given below. z y = f(x) -4 A3 -2 -1 1 2 3 4 y = 9(2) -4 -3 -2 -1 1 2 3 4 1 + f. Find (3) a. Find f'(-3). b. Find f'(1). g. Suppose p(x) = f(x)g(2). Find p'(-3). c. Find f'(3). h. Suppose q(z) = 5(). Find g(3). d. Find t'(-3). g(2) e. Find g'(1). i. Suppose r(x) = x2 f(x). Find r'(1).
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
Problem 3 Given the following graphs of f and g (both piecewise linear functions), define new functions u(r) = f(g(x)) and v() = f(g(). Find: 9 0 1 (a) (1) (b) v' (1)
For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable x, (ii) find the cdf F(x)-P(XSX), (iii) sketch graphs of the pdf f (x) and the distribution function F(x), and (iv) find μ and σ2. (a) f (x) x3/4, 0 <x<c (b) f (x)-(3/16x-,-c < x c
2. Determine where the functions below are increasing and decreasing, and where in the graphs they are concave up and concave down. Find the relative extrema and inflection points. a. g(x)=V?+1 b. f(x)=
The functions f(x)and g(x) are shown below. f(x) = 3x2 + 2x - 8 and g(x) = -x2 - x - 5. Apply the indicated operations on the given functions. [(f•g)(-2) + 3 (gºg(2)) -5(gºf)(-2)] x g(3)
Use for #4, 5. Let f(x) = 3* and g(x)= (1/2)". Find each function value. Circle the correct choice. 4. Find f(-2) a. 9 b. -9 c. = ICE d. - 5. Find g(-3) a. - b. 8 d. d. - 8 ( EX