Which fraction are equivalent 3/8,2/4,1/2
1 answer:
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We have to triple Autumn's earning for each basket, so the table would be
We expect an equation like
where is the initial value, and
is the multiplier. Since we start with 2$, and we triple the amount with each basket, we have
This relation is exponential, because every time a new basket is made, the previous amount is multiplied by a constant. In other words, we have
For the graph, you just need to sketch the points from the table we draw above and connect them
Answer:
As ,
.
Step-by-step explanation:
See the attached image for the graph of <em>f</em> .
As , the important part of the definition of <em>f</em> is the first part, valid for [0, 2). On the interval [1, 2), [x] = 1, so
, and the slope is 1.
Interestingly, on the interval [2, 3), , making
. As
, the value of <em>f </em>' approaches 4. That accounts for the sudden change in direction at the point (2, 2) where the two pieces of the graph connect.
So although the pieces meet at (2, 2) -- <em>f</em> is continuous -- <em>f</em> does not have a (two-sided) derivative at that point because the left-hand derivative and right-hand derivative have different values. There's a "bend" in the graph.
