Question 1 Given functions f(x) = Vr + 14 and g(x) = x – 7, state the domains of the following functions || using interval notation. f(x) 9(x) Domain of Domain of f(g(x)) Domain of g(f(x)) :

Q: Question 8x + 1 Find the domain and range of f(x) 8x - 8 Express your answer in interval notation…

A:

Q: 1 Express the function h(x) in the form f o g. If g(x) = (x – 2), find the function f(x). -2 Your…

A:

Q: If a function f is increasing on the intervals -5,3] and [13,21] and decreasing on the interval…

A:

Q: 10 -10 -5 18 x -5 -10 Given the graph of f(x) above, find the following and write your answer in…

A:

Q: Part 7 of 8 (g) Determine the domain of f. The domain in interval notation is -00, 00) Part 8 of 8…

A: Given query is to find the domain and range of the graph.

Q: 2. The graph of a function and its inverse are symmetric with respect to the line 3. If no…

A: An inverse of a function is a function that reverses the function back to its function variable. For…

Q: 56. a. Graph f(x) = Vx – 2. b. From the graph of f, is fa one-to-one function? c. Write the domain…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The graph of f(x): (a) Determine f(2). (b) Estimate the x values such that f(x) = 5 (c) Estimate the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: X^3-8/x-2 How do I find interval on which function is continuous and discontinuities?

A:

Q: 1-3x x1 x = -6 and x=1

A:

Q: DISCOVER: Graph of the Absolute Value of a Function (a) Draw graphs of the functions f(x) = x² + x –…

A:

Q: a. What is the name of the parent function? b. What are the zeros of the function? What is the…

A:

Q: 5, 3. a) Domain: c) Evaluate f(-4) 3. b) Range: -5 3 -2 -1 1 2 3 -1 -2 -3 -5 Note: This is not a…

A: The graph is of a circle centered at the origin and having radius 4 units. The equation of the…

Q: (а) Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is…

A: a) f(0)=-1 and f'(x)=2 for all x-values on the interval [0,3]b) f(0)=b and f'(x)=a for all x-values…

Q: etch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 • f(x)…

A: we use the given  conditions of function and draw its graph

Q: 1. The figure shows the graph of some function of two variables, f. Without doing any calculations,…

A: a. fxa, b: As the point a, b, fa, b lies on the parabolic curve along x-axis, the point is directed…

Q: Question 10 Consider the function f(z) graphed below. 4- 614 14 +8+ -10+ Solve the inequality f(x) <…

A:

Q: Question 10- -10 -6 -4 -2 2 10 6- 8- 10- Given the graph of f(x) in the figure, where is f'(x) > 0?…

A:

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: The given function f(x)=1x+2

Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

A:

Q: The domain of piecewise function is (- ∞, ∞). a. Graph function. b. Use your graph to determine the…

A: Given function is fx=2xif x≤02if x&gt;0 Domain of the given function is -∞,∞. We will draw the graph…

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: As two questions are given, I will solve only one. We are given : f(x)=1x+2,  x≠21,           x=2…

Q: Question 3 Here are two graphs representing functions f and g. 20 15 Select all statements that are…

A:

Q: Function f (x) defined to Real numbers through the set A = {- 1,0,1,2} f (x) = 4 - 5x. So the image…

A: Given,         Function fx defined to Real numbers throuh the set A= -1,0,1,2  and fx=4-5x.

Q: 2x2 – 5x – 3 if x + 3 f(x) = x – 3 a = 3 6. if x = 3

A: Solution of given question is followed by:

Q: 6. Graph and Analyze the function: f(x)= 2\x – x: Find local and absolute extreme values, points of…

A: Given: fx=2x-x . The domain of fx is, D=0,∞. f'x=1x-1 For critical points, f'x=01x-1=0      1x=1⇒…

Q: 10 -18 -5 5 18 x -5 -10 Given the graph of f(x) above, find the following and write your answer in…

A: Given is

Q: 9. Given the graph of f', identify the intervals of increasing and decreasing as well as the x…

A: Solution (Q) 9.

Q: Discuss the relative extrema of the function, f(x)=3x+3/x^2 . Determine the intervals in which the…

A:

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: Continuity of a function : A function f(x) is said to be continuous at x=a if the limiting value and…

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

Q: Question 3 Let h(x) f(x)g(a). If f(x) -3a2 -4x 2 and g(x) = -x +3x +2 , what is h'(-1)? Do not…

A: Given:

Q: 1 The domain of a one-to-one function f is [6,00), and its range is [-7,00). State the domain and…

A:

Q: The function g is related to one of the parent functions described in an earlier section. g(x) = -…

A: Here, the given function is: g(x)=-[[x]]+2

Q: The domain of a one-to-one function g is [0, 15] , and its range is (0, 8). State the domain and the…

A: The domain of a one-to-one function g is 0, 15 and its range is 0, 8.

Q: If f is an odd function, then f(-x)%3D The graph of an odd function is symmetric with respect to the…

A: If f is an odd function, then f(-x)=-f(x)

Q: Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is the…

A:

Q: f(x) =|x-1-2 31.) Graph thế function and determine the open intervals on which the function is…

A:

Q: x² + 1

A: To find absolute maximum or absolute minimum of any  function f(x) in [a,b] :  (1) Find critical…

Q: Consider the function f(x = x+ squareroot|x||. Use graphical methods to discuss the…

A:

Q: 13. Select the Domain of each function. Show your work Functions All real numbers x + 0 x + 5 x # -5…

A: To find the domain of each function

Q: 2. The graph of f(x) is given below. Use interval notation for the domain and range. 600+ 400+ a)…

A:

Q: The graph of a function is given. Choose the answer that represents the graph of its derivative. 15+…

A:

Q: The graph of the function g(x) with domain [-6, 2] is given below. 10 (2, 7) 5- (1, 2) (-4, 0) -10…

A:

Q: Question1. Draw the graph of the function f(x) = |x|+\x-1| Question 2. Draw the graphs of the…

A:

Q: The domain of piecewise function is (- ∞, ∞). a. Graph function. b. Use your graph to determine the…

A: Given peicewise function is: fx=-12x2if x&lt;12x+1if x≥1 The domain of the given piecewise function…

Q: To graph the function f, we plot the points in a coordinate plane. To graph f(x) = x² – 2, we plot…

A:

Q: Question 30 4- 3 20 -6 -5 -4 -3 -2 -1 2 3 5 6 -2- -3 -4 16+ Write the domain of the function using…

A: Question is solved.

Q: Question 4 Suppose the function f has a domain set of all real numbers. Given below is the graph of…

A: