A function f has the domain (-6, 12] with f(6) = 7 and has the features...
6 (12) For each function in parts a through f, state a domain that, ifit was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test) a. f(x) x 2| b. g(x) 3D х? —1 с. q(х) 3D х2 - 3х — 4 d. k(x)x3 9 = е. f(x) %3D Зх — 1 f l(x) 2x +...
Consider the function f (x)=3* - 6, identify the following key features: State the domain using interval notation: State the range using interval notation: Write equation(s) of any asymptotes: State the x-intercept(s) (as ordered pairs): State the y-intercept(s) (as ordered pairs): The inverse of f(x) is:
The function f has a domain of [0, 4 and a range of [0, 3]. Start by sketching a potential graph of f. a. Suppose the function g is defined as g(a) - f(r) +5. Determine the domain and range of g i. Domain: Preview no answer given ii. Range Enter an interval using interval notation [more..] 丼 revieW no answer given b. Suppose the function h is defined as h(x) - 3f(r). Determine the domain and range of h...
A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local maximum at the point ( 3 , 53 ) and there is a local minimum at the point ( − 6 , 7 ) . The absolute minimum on this restricted domain is at the point ( x , y ) ,...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of all real numbers. (a) The value of limx→ ∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (b) The value of limx→ −∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s= , t= . (d) The intercepts in part (c) divide...
7.(12 pts.) For the function f(x,y)=7 find (a) Domain off. (b)f (6, 10). (c) Find all the second partials fxx fxy, fyx and fyy.
(6) Consider the function f(x) = 1 2 x − 1 with its domain defined on the interval 2 ≤ x ≤ 4. (a) Draw the graph of f. (b) Verify that f is a probability density function for a continuous random variable X. (c) Compute P(X ≤ 3). (d) Compute P(X ≥ 3)
. Given that the domain off(xis-2 i Let f ( ) be function ) and range is-10 x a 6 . that the point (3, f(x): is on the graph of f(x), answer the following questions for the various transformations of (a) For the transformation fx-1) i. describe how its graph relates to the graph of f(x). ii. find the domain. ii. find the range. iv. find a point that must be on the graph. v. Did the order of...
describe or draw a function, f(x), with the following characteristics: f(x) has domain (-infinity,8) f(x) has range (-infinity, 9) Describe or draw a function, f(x), with the following characteristics: f(x) has domain (-0,8) f(x) has range (-0,9) f(4) = 0; f(5) = 0; f(7) = 0 • The limit, as x approaches -oo, of f(x) equals 9 • The limit, as x approaches 8 from the left, of f(x) equals - • • f(-1) = f(-3); f(-1) > f(-2) f(1)...
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