6. Find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2: f(x) = x + 1 ax + b 3x if x < 1 if 1

Q: (5x - 4)² 1) Let f(x) (9x + 16)² The limit as x approaches infinity is

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Show whether or not the graphs of the functions below have vertical asymptotes by evaluating the…

A: Given: Note: Due to guidelines i can answer only first 3 questions.

Q: What is the limit when x is approaching negative infinity when the function is (8x+2) / (4x-5)

A: Given

Q: Determine the limit of each function below as x approaches the given value x = a. If the limit…

A:

Q: f (x)

A: (a) Given function is: fx=x2-x-2x+1 Then we get, fx=x2-x-2x+1⇒fx=x+1x-2x+1⇒fx=x-2 Hence the graph of…

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

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: Find the limit of the following functions (some are indeterminate forms). x2+x-12 1. lim- x-3…

A:

Q: 2. Find the limit of the following functions h. 3x² + 5x - 7 lim x-00 6x² + 2x² - 2x + 8,

A:

Q: Find the horizontal limit(s) of the follov

A: Solution of the problem as follows

Q: If the limit of g(x) as x approaches 2 is equal to 7, then g(2) must equal 7.

A: Given data:     The given function is: g(x).     The expression for the limits of the given function…

Q: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

A:

Q: 4. Graph the piecewise function 3 if -1 2

A:

Q: 7. (a) List the condition(s) for a function to f(x) be continuous at the point x = c. (b) For the…

A: 7. The given function gx=2x+a+x+3x+2x&gt;-2x+4+bx≤-2. We have to find the values of a and b, such…

Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: Describe the end behavior of the graph of: ƒ (x) = −5x5 + 4x² + 12x² - 8 using limits. —

A: We check the polynomial's degree and leading coefficient to determine the end behavior. The…

Q: 9. Consider the function f(x) = 2x³ - 3x² - 36x +5. a. Find all (relative) extrema of f. b. Which of…

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Q: Identify any points of discontinuity for the following functions. Indicate if the discontinuity is…

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