Part 3. In general, if f(x)dx = c then, if f is an even function then, | f(x)dx = 2f(x)a -a if f is an odd function then, f(x)dx =

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

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: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

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: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

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: Question 9 Ay f (x) =< ; Estimate f (-2) %3D 8-6 4 O -1 -2 O None of these 2]

A: The graph of the function crosses the x-axis when x=-2. Then, the value of the function at x=-2 is…

Q: Sketch the function f(x) = 2x(x + 3)²(x-4) -3-2 3

A: The given function .We have to sketch a graph 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: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

A:

Q: 23. For f(x) = 9x and g(x) = x + 4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f…

A: Solution(d) :

Q: Graph  f(x) = ax  for  a =  1 3,   a = 1,  and  a = 3,  all on the same set of axes.

A: Given: f(x)=ax We are required to: Draw the graph of the given function for a=13,a=1 and a=3.

Q: Let f(x) f-¹(-2) = x + 3 x + 6

A:

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: Take the derivative of this function using the power rule, product rule or quotient rule.

A: Given Data: Function: gx=x3-26x+5   The power rule of the differentiation is, ddxxn=nxn-1 ......1…

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

A:

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: If f(x) = x' + 2x (a) fog I and g(x) 2x 3, find each of the following functions (b) g f (c) g g-9

A:

Q: Example 1. If f(x) = (4 − 2x) (x + 4) find ƒ(1) and ƒ(-3).

A:

Q: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

Q: If f(x) = ax, show that f(A + B) = f(A) . f(B).

A: given: fx=ax we have to show that f(A + B) = f(A) . f(B)

Q: The function f (x) = x-3 is an odd function. Jus-tify your answer.

A: To prove the function  f(x) = x-3 is an odd function. Any function is called an odd function if…