Determine values of constant real numbers a and b so that the fune 2 ax + 10x + 10 x<2 f(x) = bx +2 x> 2 Vhat are the values of a and b? II II

Q: Let the function f be defined by the equation y = f(x), where x andf(x)are real numbers. Find the…

A: Explanation of the answer is as follows

Q: Describe all the numbers that are in the domain of f(t) V4+ 6t 3 Ot 2 2 Ot 0 Ot2 - 2 3 3. Ot < 2 Ot…

A: Function and it's domain

Q: Which statements about the behavior of f(x)=x^2+4x-3 are true? A) f has an axis of symmetry x =-2.…

A:

Q: Show that the function g (x) = x³ - x² + 1 has at least one real root.

A:

Q: a) y || (т. 3x 5x-x2 3

A: The given equation is  a)      y=3x5x-x23b)  f(x)=(5x-3)5(3x-1)3

Q: Determine whether each of these statements is true or false. Explain why. 0 ∈ ∅ ∅ ∈ {0} {0} ⊂ ∅ ∅ ⊂…

A: 1.   0 ∈ ∅ As ∅ is empty set so it can't contain any element. Hence 0 can belongs to ∅. Answer:…

Q: Using the definition of infimum, prove that inf(-1, 3] = -1.

A:

Q: Find all values of x in the interval [0,2pi) 3sec^2x-5secx=2

A: Explanation of the answer is as follows

Q: wrie the domain in interval notation. f(x)=1/square root of 8-x

A: Recall that, "only nonnegative number can have the even root". So, the radicand 8-x in the…

Q: he domain (over the real numbers) of the function f(x)=√−2x+48f(x)=-2x+48 is in the form of either…

A:

Q: tet fz) =-iž, Showthat if z-iz,show thet if f(2) analyticcorno?

A:

Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

Q: Use Calculus to find the points of inflection and to verify that they are points of inflection. 14)…

A: We can use the application of derivative in order to solve the given problem.

Q: use interval notation to represent all values of x satisfying the given conditions. y=7x-23+2(x+7)…

A: Given, y=7x-23+2(x+7) and y is at most 0

Q: iven that f(x) = x² 6x – 27 and g(x) = x – 9, find f(x) – g(x) - – nd express the result in standard…

A:

Q: 72. Prove that x 2 − y2 = (x − y)(x + y) for all real numbersx and y.

A: Given equation is x2-y2=x-yx+y

Q: true or false ? the domain f(k)=k/k^2-9 is the set of real numbers except for k=3

A: The given statement is" The domain of f(k)=kk2-9 is the set of all real numbers except k=3."

Q: Let the domain of x be the set of negative real numbers. Then Vx, (1+ x² > 0) is a true statement a…

A:

Q: Express the distance between the given numbers on the real line using an absolute value. Then…

A: Since, we know that if a and b are real numbers, then the distancebetween the points a and b on the…

Q: Does ⌊ -x⌋ = -⌈x⌉ for all real x? Give reasons for your answer.

A:

Q: Show that the equality [r + y] = [2] + [y] is not valid for all real numbers r and y.

A: Consider the provided question, We first define ceiling function. The ceiling function maps x to the…

Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

A:

Q: Find Find the domain of G(x). (Enter your answer using interval notation.) (-0,0) U (0,00)

A: To find: The domain of fgx. Given: The function is fx=5x+6 and gx=xx+6. Concept used: The set of…

Q: Decide whether Truth or False. Væ (x² < æ³), domain all real numbers O True O False

A:

Q: ifferentiate the expression with respect to x, assum- ing that y = f (x)

A:

Q: SolvetheInequalities and e xplain that nd showthc on the realliho tan 34X 12+3 tan 34 x 4

A:

Q: true or false?  The domain for  √( 3 - x) is  (∞, 3).

A: Topic:- function . The domain of a function f(x) is the set of all values for which the function is…

Q: -1 (x-2 – y-2)(x – y) - () ( (x-1 +y-1)-1 xy

A: x-2-y-2x-y-11xy-1x-1+y-1-1

Q: Solve f(9) for f(x) = 12 – x %3D f(9) = [?] Enter - 2021 Acellus Corporation. All Rights Reserved.

A:

Q: Use the intermediate value Theorem to show that the function has a real zero between the two number…

A:

Q: Find f') usig the deri vative rules. f@)= 4x2 +2x- 3 +2x -3

A:

Q: n funchion is defined by the formua fox)= $ (2) which of the Value of f(es) Gla

A: Given a sequence  To find the value of  f(5) =?

Q: Consider the followino. x + 7 7-x-56 Find the x-value (f any) at which ris not oontinuous. Is the…

A: Given function,  f(x) = x+7x2-x-56  To find the points of discontinuity and removable or non…

Q: using the nenainder theoren; find the renainder of f(x) =2x³-6x-4 divided by-3 C=L Renainder]

A:

Q: f 3x - 4 > 8, then x > 4

A: answer of given question is in step 2

Q: ) Use interval notation to describe the set of real numbers {x \x² + x – 2 2 0}.

A: Given: x|x2+x-2≥0. Here, x2+x-2≥0x+2x-1≥0x+2≥0 and x-1≥0   or x+2≤0 and x-1≤0 When x+2≥0 and…

Q: ons in the interval [0°,360°). Use an algebraic method.

A:

Q: 7) Determine algebraically whether f(x) = 2x³ – 7x2 is even, odd, or neither. %3|

A:

Q: Find the maximum value of f(x)=x^3-3x on the set of all real numbers x satisfying x^4+36< (less then…

A: Given: The function fx=x3-3x To find: The maximum value of given function on the set of all real…

Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

A:

Q: ind the domain and range of the function f(x)=square root of 49-x^2 . Express with interval…

A: Given function is y=49-x2

Q: Find the Domain of fif f(x) = 2(x – 7)2 Domain: > 0 O Domain: y >0 Domain: x is all real numbers O…

A: Explanation of the answer is as follows

Q: Determine the domain of f(x). Give your answer using interval notation 4 if -1 xs 6 x2 12x27 4х + 5…

A: Consider the given function.It is known that the domain of the function is the set of all inputs for…

Q: What is the value using the theorem for f(5

A: Given that: f(x)=4x2-x-5

Q: find all zeros of f(x) +4x^4-3x^2-x. Check all that apply.

A:

Q: 54. Find f(x) if f(x) = 1/(2 - x).

A:

Q: The daily cost of production in a factory is calculated using c(x) = 200 + 16x, where x is the…

A: To find the domain

Q: Let x be a real number. Show that 1 [3x] = [x] + | x + - 3 3 ++1+

A: