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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There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two equations:
y = –2x – 1 and
From the graph, we can see:
There are two intersection points:
(-1, 1) and (-2, 3)
The x coordinates are -1 and -2
x = -1, y = 1
x = -2, y = 3
Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
Learn more about the exponential function here:
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