x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1

Q: Identify where the function f(x) = x' – 4x + 8x + 3 is increasing, decreasing, concave up, and…

A:

Q: 3- Find the domain and ranges for V1/(1 – x3)

A: The given function is 11-x3  To find the domain and range of 11-x3

Q: Estimate the value of the limit to 3 decimal places.  limit as x appraches -1 of 1 plus x to the…

A: The given limit is, limx→-11+x31+x13. Note that, the given limit is in the indeterminate form. Apply…

Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: find the limit of 8 x→6

A: 8 is a constant. It does not depend on x.

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

A:

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

A:

Q: Evaluate 9-x-3 lim x→0 6 3 О 1/6 -1/6

A: We need to evaluate the value of the following limit limx→09-x -3x

Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

A:

Q: Evaluate the limit.

A: Consider the following limit: limx→∞3x2+20x2x4+3x3-29 Divide numerator and denominator by x4:…

Q: Zim x²-3x³ +5 X-700 X²4 +12X10+ 5

A:

Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the…

A: Shape of tangent line to the curve is given by first derivative of curve at given periodDerivative…

Q: 6- 5- 3- 2 1 -2 -1 1\2 3 4 5 -1 Figure 1 4.

A: Consider the graph of f(x)

Q: List the intervals on which f is decreasing

A: From the given graph, it is observed that the graph of the function f increasing in the intervals…

Q: -6z + 3 dz 2²(z² + 3)

A:

Q: 28. Give an example of a function that has a limit at each integer but does not have a limit at any…

A: we have to give an example of a function such that its limit only exist on integer points and not on…

Q: Graph the sequence of continuous function that are  conversing on a discontinuous function

A:

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

A: