Which statement is true about the function f(x)= StartRoot negative x EndRoot?
2 answers:
Answer:
The domain of the graph is all real numbers less than or equal to 0
Step-by-step explanation:
we have the function
we know that
The radicand must be positive
so
Solve for x
Multiply by -1 both sides
The domain is the interval ------> (-∞,0]
All real numbers less than or equal to zero
The range of the function is the interval -----> [0,∞)
see the attached figure to better understand the problem
All real numbers greater than or equal to zero
<em><u>Verify each statement</u></em>
case 1) The domain of the graph is all real numbers
The statement is false
Because, the domain is all real numbers less than or equal to zero
case 2) The range of the graph is all real numbers
The statement is false
Because, the range is all real numbers greater than or equal to zero
case 3) The domain of the graph is all real numbers less than or equal to 0
The statement is true
case 4) The range of the graph is all real numbers less than or equal to 0
The statement is false
Because, the range is all real numbers greater than or equal to zero
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Answer:
6 dm
Step-by-step explanation:
Triangle DBE is similar to triangle ABC, so their side lengths are proportional.
DE/AC = DB/AB
The length of DB can be found from ...
DB +AD = AB
DB = AB -AD = (15 -10) dm = 5 dm
So, we can fill in the proportion:
DE/(18 dm) = (5 dm)/(15 dm)
DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm
DE = 6 dm
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It can be helpful to draw and label a figure.
