3) Given the graph of f(x) below: If g(x) = f(x) + 3 is sketched, complete the table below for the corresponding coordinates of f and g f(x) (x) (-4,0) (-2, 2) (2, 2) (4,0) Complete the table below for the correct intervals: f(x) g(x) Interval at which the function is strictly increasing Interval at which the function is strictly increasing Interval at which the function is strictly increasing

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

A:

Q: y = f(x) 5 -4-3-2– ! 2 3 y g(x) a) g(x)+4 b) f(x+4)

A: Transfomations used: For any positive number c, 1. To draw the graph of y = h(x) + c we need to…

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A:

Q: the graph of a function of the form f (x) = ax2 + bx + c, where a  0?

A: The function of the form f(x)=ax2+bx+c,a≠0  is a quadratic equation of first degree. The terms a, b…

Q: Step 1 To sketch the graph of f(x) = 4x - x2, first construct a table of values by evaluating the…

A:

Q: True or False? For a function g(x). g"(3) = -8 indicates that g(x) is at x=3.

A: Given that for a function g(x), g"(3)=-8 indicates that g(x) is................ at x=3

Q: 6. Use the graphs of f and g to find the function values: 4 3 2 2 (a) (f + g)(4) f(x) 3 3 2 1 (b)…

A: Given:

Q: 2. Graph of y = f(x): 3 -2 -1- y=f(x) 1 2 3 6 7 -2 -3 4,

A: Consider the given graph: a) Since, the graph is not smooth and there are corners at x = 1, 4.…

Q: Find the sum of the series. e -8x² Σ (−1)n 87x6n n = 0 n! X

A:

Q: Use the given graph of y = f(x) to graph the function g : g(x) = - 1/2f(x - 2) + 2

A: Given: Graph of y=f(x) To determine: Graph of g(x)=-12f(x-2)+2

Q: Consider the function f (x) = ( 1/2 )*. (a) Complete the table of values of f(x) for z = −3,…

A: The given function is

Q: 5) Identify the leading term, then use the leading term to determine the en graph of the function…

A: Here we have to find the leading term and end behavior of the graph of the functions.

Q: For the graph of the function f(x), find any inflection points, if possible. f(x) = – x³ + 3x² – 4…

A:

Q: Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number…

A:

Q: Find f(x) and g(x) so that the function given can be described as y = f(g(x)). y = (x³ + 1)² [?] = […

A:

Q: 2. The function f and g are given by f(x) = In x and g(x) = e* +2 a) State the domain and range of f…

A:

Q: what will the point (0,0) be mapped to when graphing the function f(x)=2sin(x-60)-5

A:

Q: To graph the function f, we plot the points (x, f(x) ✔ (x₁ To graph f(x)=x2-4, we plot the following…

A:

Q: Sketch the graph of the piecewise-defined function. -4x, xs -3 16) f(x)= {-4 + Vx, -3 1

A: Given :                f(x) = -4x,  x ≤-3-4+x,  -3<x≤1-x+3,  x>1 For the first rule :…

Q: 10) Demonstrate with graphs even and odd functions. Identify the functions.. Even function: f(-x) =…

A: Graph even functions: In very simple words even function are functions having symmetry about the…

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

A: