12) Sketch the graph of the piecewise function below. 1/2|x-5| -x-8)2+6 f(x) = I>5 10 5n 10 -10 10

Q: 7. Write the algebraic definition for the piecewise function graph. +2 +2 f(z) –

A: Given :y=x+2 and y=-x+2that are shown in diagram

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)…

A: The function is given by,

Q: 7. Sketch the graph of a function that satisfies all of the following conditions. is an even…

A: Note that there are many possibility to draw the graph that satisfy all the given conditions.

Q: Which of these statements are true about the graph of f(x) = -x(x – 2)²(x +1)? I. The function…

A:

Q: (3) Create the function which best describes the graph show below. f(x)_8 3 2 -7 -6 -5 -4 -3 -2 -1 0…

A: Our objective is to create a function which best describes the graph.

Q: The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 30000 20000 10000 -10 -8…

A: Given that the function y=f(x) is : From the graph, we can see that the function f(x) has the…

Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

A:

Q: 21. The graphs of f(x)=x" for n= 3, 5, 7.... resemble each other. As n gets larger, what happens to…

A:

Q: 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x)- 1, what point is guaranteed to be on…

A: Given (-4,5) is located on the graph of f and g(x)= 3f(2x)-1  We want to find the guaranted point on…

Q: 3. Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and…

A: Given: fx=-x,0≤x&lt;22x-4,2≤x≤3 graph of given function can be draw as below

Q: 11. Use the graph of f(x) to graph f-1(x).

A: Here is the solution of the given problem.

Q: 1. Use the graph of f(x) given below to decide whether the value of the given quantity exists. If it…

A: The solution are next step..

Q: 10. Find the domain, range of the set of piecewise defined function and graph x<2 4- x, f(x) = l1+…

A:

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: The graph of the function is sketched as follows: 12 8. -12 -8 12 .4 -8 -12 Determine the interval…

A: Explanation of the answer is as follows

Q: 5. Draw the graph of the function: f (x) = -4Cos (x -) + 9 over 2. the interval 0 <x< 2n.

A: To graphf(x)=-4cos(x-π2)+9.

Q: 7. Consider the function f graphed below. 2 -4 4 -2

A:

Q: Refer to the graph of the function and complete the statement. 3 4 5 a. As x → -0, f(x) → b. As x +…

A:

Q: 11. Consider the function f(x) %3D * + 4 (a) Is the point ( 1.-) on the graph of f? (b) If x = -2,…

A:

Q: 3. Consider the following graph of a function f. a. What is f(-2)? b. What is f-1(-2)? c. What is…

A:

Q: 7 Find the most general function F such that F'(): - 5V?.

A:

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: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

A:

Q: 1 Explain how the graph of the function f(x) = can be obtained from the graph of y =-. Then graph f…

A:

Q: 6. Sketch a graph of some function f(x) where the interval for f(x) > O is [2,5] and [8,).

A:

Q: a. Find the open intervals on which the function is increasing and decreasing. x3 f(x) = 4x2 +7

A:

Q: 41 -5 -4 -3 -2 -1 4 -2 -3 -4 -5+ Use the graph of f(x) above to estimate the value of f'(- 2) to one…

A: The graph of  the function f(x) is given. To estimate the value of f'(-2)

Q: Sketch the graph of the function. Label the intercept(s) and asymptote(s). x2 9) f(x) x2 - x - 12

A: on solving this we get

Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

A:

Q: 5. Use the graph of f(x) = x' - 2x and g(x) =x to answer the questions. (a) For what values of x is…

A: Given that, f(x)=x3-2x, g(x)=x For f(x)=g(x), we have, x3-2x=x⇒x3-3x=0⇒x(x2-3)=0 This gives x=0, ±3…

Q: 1. Let f(r) = 1– x². (a) Sketch a quick graph of f for -2 <r < 2.

A: The given function is The graph of the function is inverted parabola with vertex going in upward…

Q: 5 -10 1-5- 15₁ 10 15 -5 10 15 S Đ Vezango2 10 >X 15

A: The given graph is: Find the Indicated values on the graph.

Q: 5. Sketch the graph of f'(x) on the graph of f(r) provided.

A:

Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: 2, 1 2 -1 -1 -5 -4 -3 -2 -2 -4 Use the graph of f(x) above to estimate the value of f'(1) to one…

A:

Q: 2. If f(x) = kx' +x² – kx+2, find k such that the graph of f contains the point (2, 12).

A:

Q: 8. (a) Sketch the graph of f'(x) by using the given graph of y = = f(x). I ¦ f(xX ¦ 11 r-x--r 14

A:

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

A:

Q: 14. Determine if the function f(x)=2x°V4-x* is either even, odd, or neither (even nor odd). Does the…

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: ++ -6.2-4.71 -3.14 –-1.57, 1.57 3.14 4.71 6.2 x -2

A: g(x)=x/2  For detail analysis...go through the solution , I have explained step by step with graph

Q: Can i get help step by step?

A: To sketch the graph of the absolute value function.

Q: Question #3, graph of derivative?

A: From -3 to 0 it is concave down. This mens f"(x) &lt; 0. Which means f'(x) is decreasing.In -3 to 1…

Q: 7. Sketch the graph of a function that satisfies all of the given conditions. f '(0) = f '(2) =…

A: Let's find.

Q: 7. A line x = 4 is a asymptote for the graph of a function f(x) , if

A: Vertical asymptotes of a function is the value of the variable for which the function does not…

Q: 6) Use the definition to find g'(2) where g(x) = x', then decide if g is increasing or decreasing at…

A:

Q: 9. Find the domain, range of the set of piecewise defined function and graph h(x) = { (-2, xS3 12,…

A: The given piecewise function is h(x)=-2,x≤32,x&gt;3

Q: 9) Sketch the graph of the piecewise function below 4. f(x) = x+ 2]-3 IS-7 -7<x53 10 2x-5

A:

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: Practice Question 2.3

A: The given function is,

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.