(d) Let ø(x) = x - 1, x > 0. If defines an odd extension of o to the entire real line, then for r <0, (x) = %3D (A) x + 1 (B) x – 1 (C) 1 – r (D) -x - 1

Q: Find the domain of the function, f(x) = √[2x/(x + 1) - 1]

A: f(x) = √[2x/(x + 1) - 1] we know that the value under the root is always positive. [2x/(x + 1) - 1]…

Q: 1. Determine a possible equation for each polynomial function. a) f(x)= d) f (x) = c) f(x) = f) f…

A: To find the equation of the given graph of function f(x) :-

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: Show that x – P VB + (d - x)* g(x) is a decreasing function of x.

A:

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: (d) Compute P(x 2 2).

A: Given that  X~Poisson(μ=6) Probability mass function of X is  f(x)=μxe-μ/x!  , x=0,1,2,3,____

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

A:

Q: . Find the asymptotic behavior of the polynomial f(x) = -x² + 4x® + 2x5 12x – 10 (i.e. determine the…

A: Find the degree and the leading coefficient for the given polynomial.

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: Let f(x) = x4 − 9x3 + 23x2 − 15x − 10. Find an integer n1 so that f(x) has a root between x = n1 and…

A:

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: Prove that f(x) = 5x? + 3x – 26 is 0(x²). %3D

A: Given: f(x) = 5x2 + 3x – 26  is  θ(x 2).

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: Consider the function f(x) = 1 + 2x + 3x² + 4x³. Let s be the sum of all distinct real roots of f(x)…

A: First derivative check for monotonicity

Q: Let b be a zero of f(x) = x5 + 2x + 4 Show that none of √2, ∛2, ∜2 belongs to Q(β).

A:

Q: The points of inflection of the function f(x) = 2x - 6x? - 5x 1 is: O 4 O 3 O 2 O 1

A: Find the inflection points of the function