Use the graph to evaluate the step function at x =3
1 answer:
Answer:
D
Step-by-step explanation:
To evaluate the value of the function at 3, draw vertical line and find the point of intersection of this line with the graph of the given function.
You can see that the vertical line has two common points with the graph: (3,5) and (3,7). The first point (3,5) is solid (filled), so this point belongs to the graph and it is the point of intersection. The second point (3,7) is open point (not filled), so this point does not belong to the graph, so it cannot be the point of intersection.
Hence,
You might be interested in
Answer:
The length of the new segments A'B' is 20 units ⇒ answer C
Step-by-step explanation:
* <em>Lets revise the dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does
not change.
- The scale factor, measures how much larger or smaller the image
will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* <em>Lets solve the problem</em>
- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by
a scale factor of 4 and centered at the origin
∵ The scale factor is 4 and it is greater than 1
- The length of the image of line segment AB will enlarged by the
scale factor 4
∴ A'B' = 4 AB
* <em>Lets find the length of AB by using the rule of the distance</em>
∵
∵ A = and B =
∵ A = (1 , 4) and B = (4 , 8)
∴ and
∵ AB =
∴ AB = 5 units
∵ A'B' = 4 AB
∴ A'B' = 4 × 5 = 20
∴ The length of the new segments A'B' is 20 units