Question

Janet is comparing the functions h(x) and g(x), the graph shows that the function g(x) is defined as -x^2-2x+6, Which statement is correct?

A) h(x) has a larger maximum value than g(x), and h(x) has a larger value
at x=3.
B) h(x) has a larger maximum value than g(x), and h(x) has a smaller value
at x=3.
C) h(x) has a smaller maximum value than g(x), and h(x) has a smaller value
at x=3.
D) h(x) has a smaller maximum value than g(x), and h(x) has a larger value
at x=3.

1) How many functions is the question referring to?
2) Do you know the functions? Do you have a way to visually compare the functions?
3) What is the question asking?
4) In the answer choices what are they talking about?
5) Identify the maximum of h(x) and g(x).
6) Identify the value of x=3 of h(x) and g(x).
7) which answer choice would be best based on your findings?

Answer 1

The question is referring to two functions: h(x) and g(x).

The specific functions h(x) and g(x) are not given in the information provided, but we are given the equation of g(x) as -x^2 - 2x + 6. Without knowing the equation of h(x) or having a visual comparison of the functions, we cannot directly compare them.

The question is asking for the correct statement regarding the comparison between h(x) and g(x).

The answer choices are discussing the maximum value and the value at x=3 for both h(x) and g(x).

To identify the maximum of h(x) and g(x), we need either the equations of the functions or a visual representation of their graphs. Without this information, we cannot determine the maximum values.

Similarly, without knowing the equations of the functions or having a graph, we cannot identify the values of h(x) and g(x) at x=3.

Based on the lack of information provided to make direct comparisons between h(x) and g(x), it is not possible to determine the correct answer choice.