Question
Identify the values that could replace E and Fin the function rule below so that the graph represents the situation. D(g)= ) 1,&0lt glt 4 (E)/(10,)&4leqslant glt 6 10,&F
Solution
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(256 Votes)
Stuart
Elite ยท Tutor for 8 years
Answer
###
and
Explanation
## Step 1: Analyzing the Piecewise Function### The given piecewise function
represents the cost of shipping a package based on its weight
. The function has three pieces:### 1.
for
: This means a package weighing between 0 and 4 (exclusive) costs 1.### 2.
for
: This means a package weighing between 4 (inclusive) and 6 (exclusive) costs
.### 3.
for
: This means a package weighing F or more costs 10.## Step 2: Determining E### From the graph, we see that when
(or
),
. Substituting these values into the second piece of the function, we get
. Solving for
, we get
.## Step 3: Determining F### From the graph, we see that the cost jumps to 10 when
. This corresponds to the third piece of the function, where
for
. Therefore,
.