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: Graph the piecewise function defined by

A:

Q: Sketch the graph of f (x) = (x - 2)4 - 1.

A: Given equation: fx=x-24-1

Q: wich is the graph of f(x)=3

A: Given function, f(x)=y=3

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: 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: --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: 2. Sketch a possible graph of each function. a) f(x) = - (x - 4)(x - 1)(x + 5) b) g(x) = x²(x – 6)³

A:

Q: Sketch the graph of f.

A: The given function is fx=x-11-x2. Sketch the graph of the above function as shown below.

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

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.