Answer:
See attached picture
Step-by-step explanation:
The function has the following characteristics:
• Not factorable
• Zeros/roots:
• Negative leading coefficient
• Has a vertex at (-2,6)
• Its graph is a parabola and upside down U shape.
• It has a maximum value of 6.
Answer:
The true statements:
The only value that is in the domains of both functions is 0.
The range of g(x) is all values less than or equal to 0.
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Step-by-step explanation:
See the attached figure:
As shown: f(x) = √x with blue color
When f(x) is reflected across the x-axis the result will be (-√x) with red color.
Then the is reflected result across the y-axis to create the graph of function g(x) = -√(-x) with green color.
<u>Domain </u>of f(x) = [0,∞) & <u>Range</u> of f(x) = [0,∞)
<u>Domain </u>of g(x) = (-∞,0] & <u>Range </u>of g(x) = (-∞,0]
So, according to previous, we will check the statements:
1) The functions have the same range. <u>(Wrong)</u>
2) The functions have the same domains. <u>(Wrong)</u>
3) The only value that is in the domains of both functions is 0. <u>(True)</u>
4) There are no values that are in the ranges of both functions. <u>(Wrong)</u>
5) The domain of g(x) is all values greater than or equal to 0. <u>(Wrong)</u>
6) The range of g(x) is all values less than or equal to 0. <u>(True)</u>
