What are the domain and range of f(x)=(1/5)^x
1 answer:
Answer:
Infinite domain, no restrictions
Range: y 0
Step-by-step explanation:
Using this graph attached (this is the graph of the function), we can determine the possible inputs (domain) and possible outputs (range). Notice how it almost reaches 0 but never does? Yeah, there's an infinite number of inputs.
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Answer:
B
Step-by-step explanation:
This is correct because when solved it has the same slope as line <em>k.</em>
The slope of <em>k</em> is 3/2.
first subtract 3x from both sides
next divide both sides by -2
this shows that the slope 3/2 is the same as line <em>k</em>
Given:
The scale factor is and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
According to the given information, the scale factor is and the center of dilation is at (4,2).
...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).