Piece wise functions
1 answer:
Answer:
f(-5) = -6
f(-2.6) = 2.4
f(2.1) = 9.41
Step-by-step explanation:
In the question, we are told to find f(-5), f(-2.6), and f(2.1). The numbers in the parentheses represent x.
First, let's look at f(-5). Which equation should we use because x is -5? We should use the first equation because -5 is less than -3. Plug into the equation and solve:
f(-5) = -6 (We didn't have to do much because anything less than -3 equals -6)
Now, let's look at f(-2.6). We should use the equation in the middle because -2.6 is between -3 and 0. Plug -2.6 in the equation and solve:
f(-2.6) = -2.6 + 5
f(-2.6) = 2.4
Lastly, let's look at f(2.1). We should use the third equation because x is greater than 0. Plug 2.1 in the equation and solve:
f(2.1) =
f(2.1) = 4.41 + 5
f(2.1) = 9.41
Therefore, the final answers are:
f(-5) = -6
f(-2.6) = 2.4
f(2.1) = 9.41
Hope this helps!! If you have questions about my work, please let me know in the comments!
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The complete question in the attached figure
we know that
[scale]=1 in / 30 ft
scale=[measure in the drawing]/[measure in the actual]
[measure in the actual]=[measure in the drawing]/[scale]
so
[measure in the drawing]=1.25 in
scale=1/30
then
[measure in the actual]=[1.25]/[1/30]------> 1.25*30-----> 37.5 ft
the answer is
<span>the Actual height is 37.5 ft</span>
we know that
[scale]=1 in / 30 ft
scale=[measure in the drawing]/[measure in the actual]
[measure in the actual]=[measure in the drawing]/[scale]
so
[measure in the drawing]=1.25 in
scale=1/30
then
[measure in the actual]=[1.25]/[1/30]------> 1.25*30-----> 37.5 ft
the answer is
<span>the Actual height is 37.5 ft</span>