PLEASE HELPselect the algebraic definition for the piece wise function graph
1 answer:
Answers:
4 goes in the first box
-2x+8 goes in the second box
===========================================================
Explanation:
This piecewise function has 3 separate components to it:
- The left-most piece is the line labeled with 2x+4. This is why it's listed first in the algebraic definition (i.e. your teacher already filled this part out for you). This piece applies only when -2 <= x < 0
- The center piece is y = 4. We leave the "y = " portion out and simply write 4 as the center piece. This says that the output is 4, but only when 0 <= x < 2. That will graph out a flat horizontal portion as the graph shows.
- Lastly, the right-most piece is the line y = -2x+8. Again, we leave off the y portion and just write -2x+8. This piece only applies when 2 <= x < 4
Side note: Something like 2 <= x is another way of saying
You might be interested in
Answer:
x = 1.24
Step-by-step explanation:
In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:
We can bring the x down in front to give us:
ln(83) = x ln(35)
The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:
Do this on your calculator and find that x = 1.24