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Question 1 Consider a function f (2) with domain 3 << 7 and range -3 <...
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7. for x 27 What is the domain of the given function? (Type your answer in interval notation.) What is the range of the graph of a function? (Type your answer in interval notation.) Enter your answer in each of the answer boxes
use formula 2. Find the Laplace transform of the function f(t)--2, 2st<4 3,t24
Find the inverse function f of the function f. Find the range off and the domain and range of f1 f(x) = - tan (x+5)-1; -50<x< -5 Find the inverse, " off. (Use integers or fractions for any numbers in the expression.) The range of f(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any...
Question 15 1 pt 1 Details -3.2 - 7 Given the function f(x) = - 2x2 + 2x + 11 32 +4 Calculate the following values: <-3 -3<<4 f(4) = f(10) = f(-3) = fl - 9) = f(1) = f(2) = Question 16 1 pt 1 Details Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places. y = 5x + 7, where...
Question 13 < > The domain of the function f(x) = 4x + 57 consists of one or more of the following intervals: ( -00, A] and [A, 0). Find A For each interval, answer YES or NO to whether the interval is included in the solution. (-00, A) (A, 00) Add Work Submit Question
Graph the function f ro -2<x<0 f(x) = +1 O 5x<1 1 1 sx<2 Find the Fourier series of fon the given interval. Give the number to which the Fourier series converges
(1 point) Consider the function f(x) = xe-5x, 0<x< 2. This function has an absolute minimum value equal to: which is attained at x = and an absolute maximum value equal to: 1/(5e) which is attained at x =
For the indicated function, find the values f(-9), f(0), and f(4). x, if x < 0 f(x)= 8x + 6, if x 20 f(- 9) = f(0) = f(4) = State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x² - 4x - 6 The function has a value of Graph the case-defined function and give the domain and range x+2 xs2 f(x)= Choose the correct graph of the function below. OA...
A function f has the domain (-6, 12] with f(6) = 7 and has the features listed below. • f'(x) <0 on (-6.-3) and (6.12] • F"(x) <0 on (0,12] • f'(x) = 0 when r=-3,6 f"(r) = 0 when r = • f'(x) > 0 on (-3,6) . f"(x) > 0 on (-6,0) (a) Make the sign chart. Use the conventions discussed in the class. Use your sign chart from (a) to sketch a possible graph of f on...
Find the domain of the rational function f(x) = 24 OA) D(f) = {x | - 00 < x < -2 } OB) D(f) = {x 1 - 2 < x < 00 } OC) D(F) = {x | x # 2} D) D(F) = {x | x # +2} OE) D(f) = {x| - 00 < x < 2 } OF) D(f) = {x | x + –2} OG) D(f) = {x | 2 < x < 0 }