Use the given graph of the function on the interval (0, 8] to answer the following questions.

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

A:

Q: For each of the functions below, select the reason why it is not differentiable at =0.

A: We have to find out the reason for not differentiability.

Q: f(x) = In(x)

A:

Q: Given the function h (x) = -v2 – x, what is h (x)?

A:

Q: Determine whether each of the following statements is true or false, and explain whyIf a function…

A: Given statement: If a function that is symmetric about the origin has a y-intercept,it must pass…

Q: a)= 3ス2-3 %3D

A:

Q: Use the given graph of the function to find the x-values for which f is not differentiable.

A: Using graph to find the x-values where function is not differentiable

Q: Use the given graph of the function to find the x-values for which f is not differentiable. Answer…

A: Given:

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

A:

Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

Q: Find the absolute maximum of the following function over the interval [1,3]: f (x) = x3 – 9x2 + 24x…

A: Differentiate the function with respect to  x and equate it to zero to find critical points,…

Q: Compute the exact value of the function for the given x-value without using a calculator. f(X) 7.5x…

A: To Compute the exact value of the function f(X) 7.5x for x =0

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: Differentiate the following function with respect to X. eX + 3Y =1

A:

Q: Find the domain and sketch the graph of the function.

A:

Q: The function is on the interval くx< (segment 1), on the interval くく |(segment 2), and

A:

Q: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

A:

Q: Find the points on the graph of the function that are closest to the given poir f(x) = x2 - 8, (0,…

A: Solution

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x&gt;0

Q: Use the function to find the absolute minimum and maximum and the local minimum and maximum.

A: At x=5 , y value is lowest. (y=2)So this is the absolute minimum.

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: The graph of the function f is given below. f is not differentiable at

A: For differentiability of a function,  Left hand derivative = Right hand derivative  That is :

Q: Graph the function f(x) = √(x − 1) and determine the interval(s) for which f(x) ≥ 0.

A:

Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: 1. Approximate the following, given the graph of the function f. If infinite, indicate either o or…

A: (d).   We have to find the limit of given function at x = 14.

Q: Find a formula for a function that f(x) =

A:

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

A:

Q: The function S (2) = x over the domain (0, 00) is shown. 10

A: Inverse function is find by switching x into y and y into x , then solve for y .

Q: Find the value a that makes the following piece-wise function continuous.

A:

Q: The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0]. When calculating L6, we should…

A:

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore,  −2x = −8…

Q: Consider the function f(x) = 2/x + 2 on the interval [4, 8]. Find th function on this interval.

A:

Q: Use the given graph of the function to find the x-values for which f is not differentiable. 1.0 -6

A: A function is not differentiable at x=a if it is discontinuous at x=a its graph has a sharp point…

Q: fix+ h)-x) Compute (h 0) for the given function. f(x) =

A: Consider the function: fx=19x To calculate f (x+h), fx+h=19x+h

Q: Use the graph of the following function f(x) to find f(1). f(1) = Ay ->

A: We have to find f(1)

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A:

Q: Consider the following. x² - 1, f(x) 5x + 1, x > 0 Sketch the graph of the function. 10H

A: Use online graphing calculator and sketch the graph of the function as follows. From the above…

Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: Graph of function is

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

A:

Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

A:

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

A: