If f(x) is an even function, which statement about the graph of f(x) must be true? It has rotational symmetry about the origin. x It has line symmetry about the line y = x. O It has line symmetry about the y-axis. O It has line symmetry about the x-axis.

Q: Sketch the graph of f.

A: Definition used-                 Graph of a piecewise function -                  We have to…

Q: The plot below represents the function f(x) 8 7 76 X= 6 5 4 32 T -5 -4 -3 -2 -1 -1 -2+ Evaluate f(3)…

A:

Q: The figure y graph of the function f(x) = 2 4 m X 6 8 10 shows the

A:

Q: If g(x) is an even function, then f(g(x)) is even. Is this false or true.

A:

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: Use the graphs of f and g shown below to find the following: (a) g (f (2)) = (b) f (g (4)) EHH f(x)…

A:

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x>2 , y is fixex at 3  For -1<x≤2 , y=x  For this, we make a…

Q: 4. a) Carefully graph the following piecewise-defined function. b) State the domain and the range…

A: The given function function,g(x)=4-x2if x<22x+3if x≥2

Q: From the graph of f, we see that  f(4) =    f(3) =

A: Given To Find   f(4) = ?   f(3) = ?

Q: both an even and odd number function, then show that f(x)=0 at each point in its domain

A:

Q: 3- if x 2 -2 *(x) = —х + 1 2 1- -4 -2 -1 1 2 3 4 -1 -2- -3 2.

A: we have to draw the graph

Q: Sketch a graph of f(x) = 2(x + 1)² — 2

A: The function is given as f(x)=2(x+1)2-2 .

Q: --1 Draw the graph of f(x)

A: The given function  y=12-x-1 Put x=0 y=120-1=12-1=2 Point(0, 2) When x=-1 y=1 point(-1, 1)

Q: Use the following graph of f(x) to sketch the graph of f(x-2)-3.

A: The graph of f(x) is given.

Q: Draw a graph that represents the graph of f(x) = 3x -2?

A: Given query is find the graph of the function.

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.