Given the graph of y=f(x) below, find the value f(1)
We notice that the given graph of y = f(x) passes through the point (1, -1).
So we have,
f(1) = -1
Given the graph of y=f(x) below, find the value f(1) Given the graph of y =...
Given the graph of y = f() below, find the value f(-5). 5 . 311 IPOWA -6-5-4-3 1 2 3 4 5 6 7 8
6. Find the exact value of ,* f'(x) dx, if the graph of f(x) is given below. 6 5 3 3 2 1 0 2 3 4 5 6 7 8 9
14. Suppose that f(x) is continuous on (60,-) Given the graph y = f'(x) below, find the following: y = f'(x) In (None may be an answer): Find the number lines of f'&f" 1. relative maximumat x= 2. relative minimum at x= 3. The graph of y=f(x) has points of inflection at x= -&x= (Enter a number from smallest to largest x-value.)
Problem 7. (10 pts) The graph of f'(x) is given below. If f(0) = 5, find f(x) at I = 2, 2 = 6, and I=10. y f'(x) 3 4 2 5 10 -1 2
Below is the graph of y = f(x). Find the function of the transformed graph. 1 2 -2 -2+ - 4 O f(x + 3) - 3 o-f(x+3) o-f(x) 3 O -f(x - 3) O -f(x) + 3
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
5) The level curves of a function f(x,y) are given in the graph below. 2 X -1 -2 i Estimate f(3,3) ii Estimate Vf(-3, 1) Let u be a unit vector parallel to (1,4). Calculate Daf using your answer from i iv) Find the location of all critical points of the function f, on the set -5 <r< of these is a saddle point) iii) Let D be the domain bounded between the curves y = x and y= 2...
The graph of y = f(x) is shown below: y = f(.) 1 2 3 4 5 6 7 8 9 For which values of S and is the following statement FALSE: If 2 - 51 < 8, then f(x) - 2 < 8=1, € = 2 • 8 = 2, = 1.5 8 = 1, € = 3 6= 3, € = 1.5
s. Use the given graph of y f(x to sketch a possible graph of y - f'(x) and y-f"(x) (0,0) -1 6. Use the graph of y f'(x) to sketch a possible graph of y f(x) -2 31 I -2 s. Use the given graph of y f(x to sketch a possible graph of y - f'(x) and y-f"(x) (0,0) -1 6. Use the graph of y f'(x) to sketch a possible graph of y f(x) -2 31 I -2
The graph of a function f is shown below. Find f(1) and find one value of x for which f(x) = -1. 3 2 (a) (1) - 0 One value of x for which /(x) = -1: (b) 6 ? The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x=7 to x=9. Simplify your answer as much as possible. 6 10 12 14 18 -10