7. a) What is true about the graph of y = 5(x), given that lim h(x)...
3. Given that lim f(x) = 4 and lim f(x) = -4, what is true about lim f(x)? x-1 4. Given that lim f(x) = 1, lim f(x) = 1, and f(-3) = 1, what is true about lim f(x)? 5. Given that lim f(x) = 0, lim f(x) = 0, and f(2) = 3, what is true about limf(x)? X-3 X-3 X-2
5. Given the graph of y = f(x), shown below, answer the following, by inspection. (0.5 mark each, 4.5 marks total). 2 2 -3 -6 -7 a) f(0) = b) f(2)= c) lim f(x) = d) lim f(x) = e) lim, f(x) = d) lim f(x) = g) lim f(x) = h) lim. f(x) = i) lim f(x) = x 2 3-2-
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Use the graph below to determine whether the statements about the function y=f(x) are true or false. Ay 10- 8- 6 -10 -8 -6 -4 -2 2 8 10 True or false; lim f(x)= 9. X-3+ O True O False True or false: lim f(x) = 3. X-0- O True O False True or false: lim f(x) = lim f(x). X-0 X0- O True False True or false: lim f(x) exists. x0 0 True 0 False True or false: lim...
1. (6) Sketch the graph f a function f that satisfies all of the given conditions. lim )3, im ()5, lim , lim+ =-oo.lim2--5, f is continuous from the left at x--1. 2 1. (6) Sketch the graph f a function f that satisfies all of the given conditions. lim )3, im ()5, lim , lim+ =-oo.lim2--5, f is continuous from the left at x--1. 2
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx <2, for 2 4 3(1-2*) for z > 4. 0 ) (ii) lim U(6) Evaluate () (U(2)+1), (l (iv) U'(4),(v) lim U() [Show succinctly your calculation or argument.] P.2 of 6 about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx 4....
6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim
7. Use the given information about the parametric equations x-ft) and y-g(t) to graph the Cartesian (rectangular) x-y relation. ft) is the absolute value of a linear function, and three points on the graph of this function are: H0, x=1; t-1, x 0; and t=2, x=1 g(t) is a linear function, and two points on the graph of y-g(t) aret-0, y=1; and t-1. y-0.