1. Which means that the value of the height of the graph as x approaches a certain value from either side? A) limit of a function B) right-hand limit of a function C) limits are asymptotes D left-hand limit of a function 2. When can you always substitute to find a limit? A) all rational functions B) all polynomial functions C) all functions D) all transcendental functions 3. The final value for a limit of a function is not different from the value of evaluating a function. A) true B) false C) sometimes true D) sometimes false

Q: 2. Use the graph of f(x) below to a) determine the domain and range of the function and b) evaluate…

A: This question is related to Functions, we will solve it using given information.

Q: At least 5 pieces that are differentiable and continuous at all points, including domains for each…

A: To construct a function that are differentiable and continuous at all points, including domain for…

Q: (2) Supose f(x, Y, z) = g(p), where p = Vx? + y? + 2² and g is a function of one variable. Prove…

A: given f(x,y,z)=g(ρ) where ρ=x2+y2+z2first we find fx=∂g(ρ)∂x=∂g(ρ)∂ρ∂ρ∂x=g'(ρ)xx2+y2+z2again…

Q: 3 13 3 x f(x) = √₂² + 3x - 121 = 1² (√1 +²³2-¹) = (¹ + ¹ + 0 () − ¹) - 2 +0(1). |x| 1+ 1 x 1 2 x…

A: Here I am gonna show you how the limits were found:let's break downof the given function: f(x) =…

Q: 1. Sketch a graph the function Ax) = 3* . Identify the key features. a) domain and range b) any…

A:

Q: 3+x; xL1 3- X 14 X 8x 40 x 480 11x -4X; 80LX 280

A:

Q: Sketch a graph of f(x) = -5 -4 -3 -2 -7 Clear All Draw: 5 4 3 2 1 -1 -2 -3 -5 wwwww 7 ' -3 x-1 P WWW…

A: Draw the graph as per condition

Q: Define x +3 for x 2 Find a value of c such that g is (a) left-continuous (b) right-continuous In…

A: Answer(a): The given function g(x) is said to be left continuous, if its continuous at x=-1, that is…

Q: 1. Given the graph of a function f (x): (check image 1 for the graph of the function) a) Does the…

A: Here, the graph of the function f(x) is given.

Q: a) Is the graph a function? b) State its domain. c) State its range. d) Evaluate the function for…

A:

Q: Clearly label any local or absolute extreme values on the graph of f (x) b)Clearly label any points…

A:

Q: 14) Bisection Method for Approximating Zeros of a Function f We begin with two consecutive integers,…

A: Given: f(x)=8x4-2x2+5x-1 1st  iteration: Here,  f(0)=-1<0 and f(1)=10>0 ∴ Now, Root lies…

Q: 10) Sketch graph of each function, clearly showing any discontinuities (asymptotes or holes). xỉ…

A: The given functions are a)y=x2-5x+43x-12b)y=x+5x2-25c)y=x3+5x2+6x2x+6 We have to sketch the graph of…

Q: With reference to the function f(x)=-4 d) Establish the corresponding limits to determine the…

A: We will use limits to find asymptotes . Function is continuous in its domain . Then we will draw…

Q: a) Make a sketch of: f(x)= x², if x 2 Clearly label each part on your graph. You must use graph…

A: The piecewise function is

Q: Find (with justification) the vertical and horizontal asymptotes of the function f(x) (show all…

A: Let's find.

Q: Make a conjecture about the end behaviour of a function with a degree that is : a) even and has a…

A: The end behaviour of a function indicates the behaviour of a function at the positive infinity and…