Question

Given the graph of f(x) above, find the following and write your answers using interval notation (Separate multiple intervals with a comma):
(a) Domain:
(b) Range:
(c) Interval(s) on which f(x) is increasing:
(d) Interval(s) on which f(x) is decreasing:
(e) Interval(s) on which f(x) is constant:
(f) Local maxima: 4
(g) Local minima: -6

Answer 1

The following interval notation  are as follows;

(a) Domain:(-2,∞)

(b) Range: (-4,4)

(c) Interval(s) on which f(x) is increasing: (0,4)

(d) Interval(s) on which f(x) is decreasing: (2,6)

(e) Interval(s) on which f(x) is constant:(2, ∞)

(f) Local maxima: (0,4)

(g) Local minima:( 0,-6)

What is function?

The function is a special relationship between inputs (i.e. domain) and their outputs (known as code domain) where each input has exactly one output and the output can be traced back to that input.

There are many types of functions in mathematics. Some important types are:

• Injection function or One-to-one function: If each domain has a mapping between two sets.

• Surject functions or Onto function: When more than one element is connected from domain to domain.

• Polynomial function: A function consisting of polynomials.

• Inverse Functions: A function that can invert another function.

These were some examples of functions. It should be noted that there are several other functions such as function, algebraic functions, etc.

To learn more about function, refer;

brainly.com/question/5975436

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