Which functions are one-to-one on the domain (−∞,∞) (−∞,∞)?
You may find it helpful to graph the functions and use the horizontal line test.
There may be more than one correct answer. Select all that apply.
ψ(x)=sinx
g(x)=x^3−5
f(x)=x^2+1
h(x)=x^5+x−2/x^4+1
μ(x)=x^6+2x^2/x+1
φ(x)=arctanx
Homework Answers
Consider the following graphs of functions
Consider the following graphs of functions Which of the graphs represent functions where using local linearization to approximate the value of the function near the identified point will always give an under estimate? There may be more than one correct answer. A. h(x) B.f(x) C. I(x) D. g(x) E. None of the above Which graph(s) has a global minimum somewhere on the graph shown? There may be more than one correct answer. A. f(x) B. I(x) OC. h(x) D. g(x) E. None of the above Which graph(s) has a local extrema somewhere on the...
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the...
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
Consider the functions F and Gas shown in the graph to the right Find the domain...
Consider the functions F and Gas shown in the graph to the right Find the domain of the domain of G, and the domain of F. What is the domain of F? (Type your answer in interval notation) YA Total profit is defined as total revenue, R(x), minus total cost. Cix), and is given by the function PRO-COX). Given Rx)=5&x-0322 and Codex + 15, find each of the following a) PIX) b) R(100), C(100), and P(100) P(x)=0 (Type in descending...
Suppose that the function F & G are defined as follows Suppose that the functions f...
Suppose that the function F & G are defined as
follows
Suppose that the functions f and g are defined as follows. f(x) = 5-2x? g(x) = 2 - 6x (a) Find ( 2 )(-1). (a) Find (b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas. (b) Value(s) that are NOT in the domain of
10. Use the limit definition of the derivative to calculate the derivatives of the following functions....
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3)...
Show work thumbs up
VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8),...
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) =
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) =
Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x)
Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x) h(x) = 1/2x-2 Choose the correct pair of functions. Find the donain of the function. What is the domain of g? (Type your answer in interval notation.)
The functions of f and g are given. Evaluate f o g and find the domain...
The functions of f and g are given. Evaluate f o g and find
the domain of the composite function f o g.
Test: Unit Test #1-Algebra This Question: 1 pt The functions fand g are given. Evaluate fo g and find the domain of th 2 5 fx) x+1 900)-x ()(Simplify your answer.) The domain of f g is (Type your answer in interval notation.) Ente
please answer all the following parts neatly. thank you Let's consider the problem that has given rise t...
please answer all the following parts neatly. thank you
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
Consider the functions F and Gas shown in the graph to the right Find the domain of the domain of G, and the domain of F. What is the domain of F? (Type your answer in interval notation) YA Total profit is defined as total revenue, R(x), minus total cost. Cix), and is given by the function PRO-COX). Given Rx)=5&x-0322 and Codex + 15, find each of the following a) PIX) b) R(100), C(100), and P(100) P(x)=0 (Type in descending...
Suppose that the function F & G are defined as
follows
Suppose that the functions f and g are defined as follows. f(x) = 5-2x? g(x) = 2 - 6x (a) Find ( 2 )(-1). (a) Find (b) Find all values that are NOT in the domain of If there is more than one value, separate them with commas. (b) Value(s) that are NOT in the domain of
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Show work thumbs up
VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) =
The one-to-one functions g and h are defined as follows. g={(-5, -4), (1, -6), (3, -8), (5, 3)) h(x)=2x+ 13 Find the following. ? X ()c) =
The functions of f and g are given. Evaluate f o g and find
the domain of the composite function f o g.
Test: Unit Test #1-Algebra This Question: 1 pt The functions fand g are given. Evaluate fo g and find the domain of th 2 5 fx) x+1 900)-x ()(Simplify your answer.) The domain of f g is (Type your answer in interval notation.) Ente
please answer all the following parts neatly. thank you
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
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