The key features of the functions will be described in the answer.
What are the x-intercepts of a function?
The x-intercepts of a function are the values of x for which y = 0, that is, the values of x for which the function crosses the horizontal axis.
In this problem, we have that:
- f(x), as shown in the graph. has x-intercepts at x = -2, x = 1 and x = 2.
- g(x), as listed on the table, has x-intercepts at x = -1, x = 1 and x = 1.
What is the y-intercept of a function?
The y-intercept of a function is the value of y for which x = 0, that is, the value of y for which the function crosses the vertical axis.
In this problem, we have that:
- f(x), as shown in the graph, has y-intercept at y = 4.
- g(x), as listed on the table, has y-intercept at y = -4.
What are the relative minimums and relative maximums in a function f(x)?
- A relative minimum in a function f(x) is a value of x at which the function changes from decreasing to increasing.
- A relative maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
For the minimums, we have that:
- f(x) has minimums at (-1.5, -2) and (1.5, -2).
- g(x) has minimums at (-0.37, -4.85) and (2,0).
For the maximums, we have that:
- f(x) has maximum at (0,4).
- g(x) has maximum at (1.37, 0.35).
What is the end behavior of a function?
It is given by the limit of the function as x goes to infinity. In this problem, from both the table and the graph, we have that both functions go to infinity both to left(when x goes to negative infinity) and to right(when x goes to positive infinity).
More can be learned about functions at https://brainly.com/question/25537936
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