Solve for x: −1 < x + 3 < 5 help immediately!!! will give lots of points!!!!!
2 answers:
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Answer:
option B) f(x) = x³ - 3
Step-by-step explanation:
we know that
If the function represent the set of ordered pairs, then the ordered pairs, must be satisfy the function
<u><em>Verify each function</em></u>
case A) f(x) = -2x
verify the ordered pair (2,5)
For x=2
substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair
the ordered pair not satisfy the function
so
The function nor represent the set of the ordered pairs
case B) f(x) = x³ - 3
Verify (1,-2)
For x=-1 ---> ---> is ok
Verify (2,5)
For x=-2 ---> ---> is ok
Verify (3,24)
For x=3 ---> ---> is ok
Verify (4,61)
For x=4 ---> ---> is ok
so
the ordered pairs satisfy the function
therefore
The function represent the set of ordered pairs
case C) f(x) = x² - 3
verify the ordered pair (2,5)
For x=2
substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair
the ordered pair not satisfy the function
so
The function nor represent the set of the ordered pairs
case D) f(x) = 5x² - 7
verify the ordered pair (2,5)
For x=2
substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair
the ordered pair not satisfy the function
so
The function nor represent the set of the ordered pairs