25. Consider the functions. (8 pts) a) f(x) = I b) f(x)= x c) f(x) =...
x+2 7 21. multiple choice. Any iten may! y have more than one correct answer. 2. what is the domain of f(x) = x²-3x-28 (10 m) (-2,-4) u (-4,-2) +(-2,7) v (7,) b) (-2,-4) u (-4,7) 0 (7,-) c) (-0, -u) u 17, s ) d) (-2,-2) u (-2,-) e) (-4,7) 22, 22, which equation can be used to find the equation of a line that passes through (2,-5) and is perpendicular to 2x + 3y = 7? (1 pt)...
1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider the function f(x) 3r-4 1-1, <2 x22 (2) (0) (1)
Consider the following functions: • f(x) = X-6 X-6 9 . g(x) = x2 + 11x + 24 • h(x) = V3 – 6x Use interval notation to describe the domain of each function: Type "inf" and "-inf" for oo and --oo, respectively. Type the capital letter "U" to represent the symbol U. Type the capital letter "R" to represent the symbol R. a. The domain of f(x) is I b. The domain of g(x) is c. The domain of...
what is the range? f(x)= - 3x if x 50 -2 if x>0 The domain of the piecewise function is (-00,00). a. Graph the function b. Use your graph to determine the function's range, a. Choose the correct graph below. ОА. C B. Ос. AY a AY 10 10 10 10 -10 TO b. The range of f(x) is Click to select your answers)
Question 1 Consider a function f (2) with domain 3 << 7 and range -3 < f (x) < 9 a) Find the domain and range of g (x) = f (5x). Domain: <3< Range: 59(2) b) Find the domain and range of -h (2) + 7. Domain: sos Range: <9() <
8. Consider ar? +5 I <3 f(0) = 12.c +b > 3 Determine a and b such that f is continuous and differentiable at x = 3. )={
(5 pts) Describe in your own words 2 ways in which the functions f(x) and g(x) below are similar, and 3 ways in which they are different. You can consider things like domain and range, asymptotes, symmetry, inverses, and so on. f(x)=2", g(x)=x?
Please answer this question and it’s subparts 3. (25 points) Part I11: Functions a. (7 pts) Consider functions f and g with the same domain X and co-domain Y, eg, f : X → Y and gX -Y. Must it be true that fng is a function? Why or why not? glx) b. (4 pts) Draw an arrow diagram for a function that is injective but not surjective. ほ, v/ c. (15 pts) Let S be the set of all...
1. Consider the following two probability density functions: f(3) = 2053 } for a <I<02 and g() = where ci and ca are finite real numbers. 265. for <y<02, (a) Show that f(r)dx = 9(r)dt = 1. (b) Find the cumulative distribution functions F(x) and Gu). (d) Show that if X-f(x), then 1-X g(x). (e) Show that if X h(x) = 21, for 0 <<1, then Y = c +(2-c)X ~f. (h) Show that if Uſ and U2 are two...
Question 1. Consider these real-valued functions of two variables f(x, y) (a) (i) What is the maximal domain, D, for the functions f and g? Write D in set notation (ii) What is the range of f and g? Is either function onto? (iii) Show that f is not one-to-one. (iv) Find and sketch the level sets of g with heights: 20-0, 20-2, 20-4 (Note: Use set notation, and draw a single contour diagram.) (v) Without finding Vg, on your...