A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
1 answer:
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Answer:
Options (1), (2), (3), (6)
Step-by-step explanation:
Given functions are,
f(x) =
h(x) =
Option (1)
y-intercept of function 'h',
x = 0,
h(x) =
= 5
So y-intercept is (0, 5)
True.
Option (2)
Domain of function 'h' is (-∞, ∞)
True
Option (3)
As x approaches ∞, h(x) approaches ∞.
True.
Option (4)
For x intercept,
h(x) = 0
2x = (-5)³
2x = -125
x = -62.5
So the x-intercept is (-62.5, 0)
False.
Option (5)
Range of the function 'h' is (-∞, ∞)
False
Option (6)
As x approaches to -∞, h(x) approaches to -∞.
Since, range of the function is (-∞, ∞), given statement is true.
Therefore, Options (1), (2), (3), (6) are correct.