(4) (10 points) Show that the function f(x) x3 = 3 -x+1 is one-to-one on the interval (-1, 1). [Note: The function is one-to-one on (a, b) if for all x1, x2 € (a, b), equation f (x1) = f (x2) implies that x1 = = x2.]

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: %3D

A:

Q: For the function f(x)=x to the power of 2+1 when x=2 the f(×)

A: Given,             For the function fx=x to the power of 2+1.To find : The value of fx when x=2.

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: The function f ( x) = (x-1)2-3 is not one-to-one. True O False

A: A function f is one-to-one if every element of the range of f corresponds to exactly one element of…

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

A:

Q: F(X) = 102₂ ; g(x) = x + 1

A: To find the domain of .

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

A:

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

A:

Q: The proper way to evaluate f(x + h) for the function f(x) = 3x²-x+4 is f(x + h) = 3(x+h)² - x +h+4…

A: Topic:- function

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x>2h-1=?h4=?

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

A:

Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

A:

Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…