If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even function. If h satisfies h(-x) called an odd function. = -h(x) for every number x in its domain, then his Suppose that sh(x) dx = = −1 and ³ h(x)dx = 2 Answer the following: A. Suppose that h is an even function. Evaluate ³3 h(x)dx. B. Suppose that h is an odd function. Evaluate få, h(x)dx. C. Evaluate ₁³ (2h(x) + 1)dx . D. Evaluate Sh(x + 1)dx .

Q: Given the following function:  f(x)=(x−1)3(x+2)f(x)=(x−1)3(x+2).  What happens at the zero of x=1x=1

A: We have given function fx=x-13x+2.

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

A:

Q: Suppose that h(x) = f(x) / g(x) . The function f can be even, odd, or neither. The same is true for…

A:

Q: q (x) = x²+9 r (x) = /x+8 Find the following. (r o q) (8) = [| (q o r)(8) = 0

A: ANSWER :

Q: Suppose that a > 0. Which of the following functions has all of these features?  one negative…

A:

Q: Consider the following piecewise-defined function. f(x) = | −5x − 6 -3x² + x-1 if x -1 Step 1 of 3:…

A:

Q: Graph the following piecewise functions. IS-2 Sx+ 2 f(x) =-x+3 = {**: x>-2

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 &lt; x &lt; 2 We have to find whether this function is odd, even or…

Q: If f(-x) = -f(x), then the function is   A. neither B. odd C. even D. both

A: If   Odd function :- if f(-x) = - f(x), then function is odd Even function :- If f(-x) = f(x), then…

Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

A:

Q: If f(2) = 6, and f is one-to-one, find x satisfying 8 + f-1(x - 1) = 10.

A: Given:f2=6f is one-to-one8+f-1x-1=10x=?

Q: 2x+l f lx) =

A: f(x)=2x+1x

Q: 1. Determine the roots of the following function and draw its graph f(x)=x-13x²+36

A: Given function .We have to find the root of the function.

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: What happens to ƒ(x) = x2 when x is a number very close to (but not equal to) 2?

A: Given function is  fx=x2 Consider x≠2,  but very very close to 2 and x&lt;2 x 1.9 1.99 1.999…

Q: find the inverse of the function f(x) = 2x +3/x-4

A: Given query is to find the inverse of f(x).

Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

A:

Q: Given a function h, defined as h(x) = bx - 4, where b is a constant, which of the following…

A: We have given function  hx=bx-4 Put x=3 h3=3b-4 Similarly, Put x=b hb=b×b-4 hb=b2-4

Q: Determine h(x²) for the following function. 3x h(x) = %3D x2 + x- 6

A: Solving the problem by jus finding the value of h(x2).