Part 1 of 4 icat For the piecewise function, find the values h(-8), h(0), h(1), and h(4). - 5x- 12, for x< -8 h(x) = { 1, for -8sx<1 x+7, for x21 h(-8)= (Simplify your answer.)

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

A:

Q: Find a function in general form with a vertex at (-1, -2) and passes through (3, 6). Hint: Start…

A:

Q: (2x+5 if x<-1 6. Sketch (By Hand) a graph of the piecewise defined function: f(x)=- 5-x if x2-1

A: The domain of the first piecewise function f(x) = 2x + 5 is all values of x which are less than…

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

A:

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: The graph of the function f(x) = /x Is stretched vertically by a factor of a and is translated3…

A: Shifting or transformation of graph is very useful. When a graph is shifted or stretched or…

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: Part A: Find the local linear approximation of the function f(x)=sqrt(3+x) at x0=6, Part B use part…

A: We have to find the local linear approximation of the function f(x)=3+x at x0=6. Also, approximate…

Q: 2. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: 1. Let f(x) = -(x - 3)2 + 1. Find the vertex. Give the range of the function.

A:

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: On what interval do the graph of the function f(x) = 2(x^2 - 9) / (x^2 - 4) increasing and concave…

A: Given that: f(x)=2(x2-9)x2-4

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: 2. Below are the graphs of four functions ++++ (I) (II) (III) (IV) a) Identify which of the graphs…

A: (a) Vertical line test states that if a vertical line intersects the graph in all places at exactly…

Q: Suppose that the function y = f(x) is increasing on the interval [- 1, 5].(a) Over what interval is…

A: y=f(x) is increasing on the interval [-1,5]

Q: 4. if x -3 8 Step 1 of 3: Identify the general shape and direction of the graph of this function on…

A:

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

A:

Q: 2. f(x) = 3[ x]

A:

Q: Without the aid of a calculator, find the local and absolute extreme values of the function on the…

A: Soution.

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: (x + 1)² x2– 1 2. At what value of x does the function have an infinite discontinuity?

A:

Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

A:

Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

A:

Q: 2. Sketch the graph of a function with domain D = (-o, -2) U (-2, 2) U (2, 00) and Range R= [-5,…

A: Given domain is (-∞, -2) U (-2,2) U (2,∞) That means x=-2 and x=2 are not in the domain.  This means…

Q: If f:[0, 3] → R is continuous, must its range be a closed interval? [HINT: Think about a constant…

A: We know that under continuous mapping image of compact set is compact

Q: Find the extreme values of f(x) = V4 - x2

A: To find the extreme value of the function fx=14-x2, first, determine the first derivative f'x. Use…

Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

A:

Q: 4 if x -3 Step 1 of 3: Identify the general shape and direction of the graph of this function on…

A:

Q: find the absolute max and absolute min points for the function f(x) = (2x^4)-(16x^2) + 15  domain…

A: To find the absolute max and absolute min points for the function fx=2x4-16x2+15 and the domain is…

Q: The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States…

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

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

A: Given: The graph of y=f(x) is

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

A:

Q: 4 if x < -3 k(x) = Vĩ if x 2 -3 2 of 3: Identify the general shape and direction of the graph of…

A: On the interval [-3, infinity) k(x) = (7/8)(x)1/3

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: Find the domain and range of the function: 1 1- V5 - x

A:

Q: The intervals on which the function f(x) = x – 4x° + 4x2 + 6 is decreasing

A:

Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: Question 2x - 8 For the function g(x) = evaluate g(2). 6x + 6 Provide your answer below: g(2) =

A:

Q: True or false: The graph of f(x) = (x + 5)2 + 3 has its vertex at (5, 3)._______

A: For  f(x)=a(x-h)2+k, vertex is (h,k)

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

A: