From the graph;
Here given all solution points are of the straight line equation.
at x= -3
f(-3) = 2
Option (A) is correct.
The graph of a function fis provided. Determine the requested function value. f(-3) OA. 2 ОО...
Sketch a possible graph of a function that satisfies the conditions below. Determine whether fis continuous at x = 1. f(1) = 2; lim f(x) = -2; lim f(x) = 2 x=1 *1* Choose the correct graph below. OA. B. OC. D. ro х X х -5 5 -5 5 -5 5 -5 5 Is f(x) continuous at x = 1? No оо Yes
The graph of a function fis given. Use the horizontal-line test to determine whether f is one-to-one Is fone-to-one? Ο O Νο Yes
11. The graph of fis shown. Determine the value of f (x)dx= y = f(x) - X 16 32 48 64 1 12. Consider the definite integral s sin(tw) dw. What is the interval of integration for this integral? What is the variable of integration? What is the integrand? 13. Suppose that f* f(x) dx = 5, ſ. f(x)dx = -3, * g(x)dx = -1 and 1 g(x)dx = 7. Determine the value of each integral. Box Answer (5) $(x)+...
Graph of A continuous function fis defined on the closed interval - 4sxs6. The graph of consists of a line segment and a curve that is tangent to the x-axis at x-3, as shown in the figure above. On th interval Dexc6, the function fis twice differentiable, with f(x)>0. Is there a value of a -4sach, for which the Mean Value Theorem applied to the interval (a 6), guarantees a value ca cx6, at which f'(c) = ? Justify your...
For the given functions f and g, find the requested composite function value. f(x) = 4x+8, g(x) = -2/x; Find (g of)(3). 16 A. 3 B. 40 3 58 Oc. 3 OD 1 10
please help! Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
2. The graph of a function, f(x), is provided to the right. 2 Use this graph to answer each of the following questions. (a) You are also told that f(x) passes through (1, 0.8). -4-3-2f11 1 2 3 Find the equation of f(x), where you use the smallest degree possible. -2 (You can write your answer in factored form.) [6 pts] -3 -4 -5 -6 -7 -8 -9 (b) Based on the graph, describe the end behaviors of f(x). [2...
The graph of a function fis given. Use the horizontal-line test to determine whether fis one-to-one. is fone-to-one? Choose the correct answer below. O No Yes
The graph of a function fis given. Use the graph to estimate the following. (Enter your answers using interval notation.) (a) The domain and range of f. domain range (b) The intervals on which fis increasing and on which fis decreasing. increasing decreasing
Let it) be a function on (0, 0). The Laplace transform of fis the function F defined by the integral Fis) = | e-stf(t)dt. Use this definition determine the Laplace transform of the following function. O f(t) = et 0<t<1 2, 1<t The Laplace transform of f(t) is F(s)=for all positive s+and F(s) = 1 + (Type exact answers.) habe -5 otherwise