Help me with this math question please I'm giving away brainliests
1 answer:
Answer:
Step-by-step explanation:
Given function in the question is,
If
Given function is not defined at x = -2
At x = -2,
Therefore, there is a hole in the graph at (-2, 1).
Graph of the function 'f' will be a straight line with a hole at (-2, 1).
Horizontal asymptote → None
Vertical asymptote → None
x-intercept → No x-intercept [Line passes through origin (0,0)]
y-intercept → No y-intercept [Line passes through origin (0,0)]
Hole → (-2, 1)
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Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ().
Let us recall the properties of a rectangle.
The <em>opposite sides</em> of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C =
Change in x coordinate from A to B =
Equating them:
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
Missing vertex is <em>(5, -1)</em>.
Please refer to the attached image for the rectangle.
Given:
The graph of a function .
To find:
The interval where .
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So, for
.
Now,
For , the graph of h(x) is above the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
Only for the interval , we get
.
Therefore, the correct option is A.