1. (6pts) Find the domain of f(x) = x+6 V17+ 2x 2. (7pts) Given f(x) =...
MTH 261-A Test unit ! | Ench part of each problem Counds 7pts. 1. Find the domain of the function I f(x) = x - 4 2. Compute each limit. 3. Find the derivative dy for each function, Simplify results. all y = 5x + 4x² b. y = 6 x - 3 4. Find the second derivative of f(x). Simplify results. f(x) = (x²+2)5 so Write the equation of the line tan to the graph of y=x²-2x+7 I at...
Find (fog)(x) and (gof)(x) and the domain of each f(x) = x²-6, g(x) = 2x - 4 (fog)(x) = _______ (Simplify your answer) (gof)(x) = _______ (Simplify your answer.) The domain of (fog)(x) is _______ (Type your answer in interval notation.) The domain of (gof)(x) is _______ (Type your answer in interval notation.)
g(x) = 2x -1, 8)) Given f(x) = x?, a) f(g(x)) h(x) = Vx+2; find the following: b) g(h(x))
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
11) (6pts) Suppose that the sales of a particular product given by the function f(x) = 2x -120x2 +1800x+1000 units sold are where x is the number of days since the launch of the product. a) Determine the second derivative, f"(x) and include units with your answer. b) Find f"(15) and interpret what it means in terms of the problem. (Write out in a sentence.)
11) (6pts) Suppose that the sales of a particular product given by the function f(x)...
what is the domain, range, x and y asymtotes of this
equation?
2x-2 Given f(x) = 22 +2x-3 Part: 0 / 5 Part 1 of 5 (a) Write the domain of f in interval notation. The domain of the function in interval notation is
f [10 pts] Given f(x) = 2x+3 – 1. a. Find the Domain and Asymptote b. Sketch the graph of f(x)
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
FIND THE DOMAIN OF THE FUNCTION VX+1 +5 f(x) VVx2-x-6 A) (-00,-2) U (3,0) B) (-2,3] C)(-0, -1) U (3,0) D)(3.c) E)(-0, -1]U (5.00) F)(-60,-2]U[3,00) G)(-2,3)U(-1,00) H)(-00,-1] Select one: a. D b. C C. A d. B e. E f. F g. G h. H
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...