How do I know what side to start on when solving for X? If I start with a different number, sometimes I'll get a different answe
1 answer:
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Answer:
The function h(x) is increasing on the interval (5, ∞)
Step-by-step explanation:
Since we cannot take a square root of a negative number, the domain of this function is restricted to x ≥ 5
If the domain is restricted to x ≥ 5, then the function is always increasing,
since h(x) ≥ 0
Therefore:
The function h(x) is increasing on the interval (5, ∞)
The true statements for this graph are:
B. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
<h3>What is a domain?</h3>A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:
y = (x - h)² + k
y = (x - 2)² + 0
y = x² -4x + 4
Therefore, the graph's domain include a set of all real numbers.
<h3>What is a range?</h3>A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.
In conclusion, we can logically deduce that the true statements for this graph are:
- Its domain include all real numbers.
- Its range include all real numbers that are greater than or equal to zero (0).
Read more on domain here: brainly.com/question/17003159
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