Suppose that the function f is defined, for all real numbers, as follows. 4x+3 if x<-2 f(x) = • %3D x-2 if x>-2 Graph the function f. Then determine whether or not the function is continuous. Is 10. -10 -6 10 4.

Q: Find the x-value(s) of the vertical asymp- tote(s) for the function. If there is more than one…

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Q: Write the following graph as a piecewise function: 2 1- -4 -3 -2 -1 2 4 -2- -3 -4 -5- --6 -7 N-

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Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: Evaluate piecewise function at the given values of the independent variable.

A: gx=x+3        if  x≥-3-x+3   if x&lt;-3 a). g0=0+3         Because, gx=x+3   if  x≥-3 and 0&gt;-3=3…

Q: Find the domain of the function using the interval notation.

A: Given,          fx=x-6x-4

Q: Use the vertical line test to determine if the graph show relations that are functions

A: The graph of the given relation is shown as,

Q: 3 For the function f(x): 2 find the x part of the x-intercept. I + 11

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Q: Use the graph of the function f to answer 6-9. Find the x- and y-intercepts, if any. State the…

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Q: Use the piecewise defined function. Find the following.  fx= 5-4× if x is less than or greater than…

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Q: If (2,5) is a point on the graph of function f(x), which of the following must be tru? Explain A.…

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Q: The function f(x) = x² is transformed into the function g(x) = 2x2 + 5. Determine whether each…

A: We have to check

Q: Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x²…

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Q: Write the domain of the following function interval notation. 2х — 5 f (x) = 4 - 3x

A: Given: f(x)=2x-54-3x

Q: 2- a. -3-2 -2- -4- -5t 4. 2 b. -5 -4-3 -2 -1 -2 -5+ 54 C. 12

A: Since all graph options are not available, given the equations of the graphs provided.

Q: 1. Complete the following table Relation y=(x+5)²-6 {(-5,4),(-5,3),(2,5)} Function (yes/ no) Domain…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.