Can anyone help me with these two true/false questions? :)
1 answer:
Answer:
9. b. sometimes true
10. a. always true
Explanation:
9. Any function will have an inverse relation. This question is not specific as to whether that inverse <em>relation</em> must be a <em>function</em>. We will assume that that is the intent.
The attached graph shows a cubic function with an inverse function (green), and another without (red).
A cubic function will have an inverse <em>function</em> sometimes.
____
10. As stated above, any function will have an inverse <em>relation</em>.
A linear function will have an inverse relation always.
__
The graph shows a linear function with an inverse function (green), and one that has an inverse <em>relation</em>, but not an inverse <em>function</em> (red).
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Question 1: Option B:
Question 2: Option D:
Solution:
Question 1:
The point on the given line are (2, 4) and (4, –2).
Slope of the given line:
m = –3.
Slope of perpendicular line = –1 ÷ Slope of the given line
Slope of perpendicular line =
Perpendicular line passing through the point (3, 1).
Slope -intercept form using point slope formula,
Option B is the correct answer.
Question 2:
The point on the given line are (0, –3) and (2, 3).
Slope of the given line:
m = 3.
Slope of parallel lines are equal.
Slope of parallel line =3
parallel lines passing through the point (–1, –1).
Point slope formula:
Option D is the correct answer.