What is the y-intercept of the graphed linear function? (0, –8) (0, –2) (0, 2) (0, 4)
2 answers:
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Answer:
Options (2), (3) and (4) are correct.
Step-by-step explanation:
The given function is f(x) =
1). First derivative of the function = f'(x) =
f'(x) =
Since derivative is negative, function will be decreasing everywhere.
Therefore, Option (1) is incorrect.
2). Since value of the function is true for every value of all real values of x.
Domain of the function is (-∞, ∞).
Therefore, Option (2) is correct.
3). For the given domain, range of the function will be all real values of y Or (-∞, ∞)
Therefore, Option (3) is correct.
4). Function 'f' when reflected across x axis, equation of the reflected function will be g(x) = .
Therefore, Option (4) is correct.
5). For a point (3, -27),
-27 =
Therefore, Option (5) is incorrect.
The logarithmic expression of 4^(1/2) = 2 is
The expression is given as:
4^(1/2) = 2
Take the logarithm of both sides
log(4^(1/2)) = log(2)
Apply the change of base rule
1/2log(4) = log(2)
Divide both sides by log(4)
1/2 = log(2)/log(4)
Change the base
Rewrite as:
Hence, the logarithmic expression of 4^(1/2) = 2 is
Read more about logarithmic expression at:
#SPJ1
Substitute into
When x = 5,
When x = 4,
x = 5, y = 4
x = 4, y = 5
Hope this helps. - M