Suppose that the functions f and g are defined as follows. f(x) = -x+2 g (x) = /5x-4 Find f-g and Then, give their domains using interval notation. 6- 3)(*) - 0 品(ロ回) 回ロ Domain of f -5 : [-x + 2, -x + 2] (0,0) (0,0) DUO 00 -00 (*) • Domain of

Q: g(x, y) = In(2-x) 1-x2-y²

A: To find the domain of the function, g(x,y)=ln(2-x)1-x2-y2

Q: Consider the function f(x) = 2x3 - 6x2 - 18x + 9 on the interval [-2,4]. What is the absolute…

A: Given function - f(x) = 2x3-6x2-18x+9Differentiating f(x) with respect to x - f'(x) =…

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A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 - 6x² –…

A:

Q: fx +3, x * -2 3) f(x) = ; -4, х--2 x =

A: We have to find

Q: f(t) = 3 – 9 ? -6, [-3, 3]

A: To find: The continuity of the function f(t)=3-9-t2 on the interval [-3, 3]

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 9x + 8,…

A:

Q: A group studies tides and records the function 1.5sin(π/3(x−8))+4.25, with time in x hours. How many…

A: Given: The given function is 1.5 sinπ3x-8+4.25

Q: Discuss the continuity of the function on the closed interval.                              g(x) =…

A: We can not have a negative value under the square root.  So,

Q: 2, if x -1 Find the value for a and b such that f (x) = {ax + b, if – 1 3 for all real numbers.

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=-1 so we…

Q: Discuss the continuity of the function h(x) = }" (x2 + 7х -5, x3 – 2x2 + 1, x < 3 x 2 3 on the…

A:

Q: The intervals where the function f(x) = -x² + 8x + 8 is increasing and decreasing is increasing in…

A:

Q: Use intermediate value theorem to show that f(x) = -x3 + x2 + x + 1 must have at least one zero on…

A: Given: fx=-x3+x2+x+1 &amp; interval 0,2 To show: The given function must have at least one zero on…

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A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: Show that f (x) = x3 - 3x is an odd function. Explain why its graph is symmetric about the origin.

A: Given, fx=x3-3x

Q: Discuss the continuity of the function on the closed interval.                             Function…

A: Given  The function is g(x)=49-x2 Interval is [-7,7]  Continuity of  function  g on the interval…

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: Find the open intervals where f is increasing or decreasing.ƒ(x) = 2 + 3x - x3

A: Increasing or decreasing: If f'(x) &gt; 0 then f(x) is increasing. If f'(x) &lt; 0  then f(x) is…

Q: A true statement for the function f(x)=2x²-3x²+10 is.. f decreasing on the intervals (-,0) and (1,-)…

A: f(x)=2x3-3x2+10

Q: With a function of x^4 - 50x^2 + 9, and  increasing intervals at [-5, 0] and [5, infinity), and…

A: To find the inflection points of the given functions.

Q: Consider the function f(x)=4-5x2 on the interval [-1,8]

A:

Q: find the intervals on which f(x) is increasing and decreasing. then sketch the graph. f(x) = 7 --…

A: We use first derivative to find out where function increasing or decreasing  when f'(x)&lt;0 then…

Q: Determine the absolute maximum of f(x) = 2x3 - 5x2 - 16x + 6 on the interval [-2,3]

A:

Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

A:

Q: x3 – 7x2 + 5x + 7 = 0, (-1, 1) Let f(x) = x3 - 7x2 + 5x + 7. f(x) is ---Select--- f(-1) = on the…

A:

Q: 3- x, 3. f(x) = [-1,4] 3+x, x > 0 1 4. g(x) [-1, 2] .2 - 4

A:

Q: If f(x)<0 for all real numbers x, then f is decreasing on(-♾,♾) True or false

A:

Q: Find f'(x). f(x) = x° – 4x³ + x – 1 - f'(x) = Compare the graphs of f and f'and use them to explain…

A: NOTE: Refresh your page if you can't see any equations.     . take derivative

Q: Please explain how to solve. Thank you

A:

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. x-4 if x <2 f(x) = - –2x+2…

A:

Q: The domain of a one-to-one function g is [ - ∞, 0 ] , and its range is [0, ∞ ]. State the domain and…

A: Graphs of inverse functions have a domain and range just like any other graph of a function. The…

Q: Discuss the continuity of the function on the closed interval.                             Function…

A: The given function is said to be continuous in a closed interval [a,b] if it is continuous in (a,b)…

Q: Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, -…

A: topic - limits and continuity

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

A:

Q: Discuss the continuity of the function on the closed interval.                        Function g(x)…

A: Givengx=1x2−4  Interval [-1,2]

Q: Find all critical points of the function f(x) = x³ + 3x² them in descending order and separate them…

A: Find all critical points of the function f(x) = x³ + 3x² - 5x + 9.

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: 9 Determine the domain of the function f(x) 5 - Domain (in interval notation):

A: Solve for the domain

Q: DISCUSS THE CONTINUITY OF THE FUNCTION ON THE CLOSED INTERVAL

A:

Q: Suppose f(x) = x° + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A:

Q: Find a function f that satisfies the conditions. "(a) --Na (1) - 5, (4) - -1

A: Given Data: The second derivative of the function is: f"x=x-3/2 ......1 The value of the first…

Q: Suppose that the function/is defined, for all real numbers, as follows. 5x-4 if xS1 -r+4 if x>1…

A:

Q: Determine if the function is continuous. x4-1/x2-1

A: Given:     To determine: the function is continuous or not.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: