Question

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Consider the function:
What are these values?
7
+
f(-3) =
+ 2x
x S-1
f(0) =
-5 +
3x
2
-1 < x < 3
f(-1) =
1
4
ΧΣ 3
f(3) =
1
1
-5 -4 -3
-2 -1
0
1
2
3
4
5

Answer 1

Answer & Step-by-step explanation:

When using piecewise functions, the intervals represents what function will be used when given a certain number. So, let's begin.

For f(-3), we will use the first function because -3 is less than -1.

f(-3) = 7/2 + 2(-3)

f(-3) = 7/2 - 6

f(-3) = -5/2

For f(-1), we will use the first function again because -1 equals -1.

f(-1) = 7/2 + 2(-1)

f(-1) = 7/2 - 2

f(-1) = 3/2

For f(3), we will use the last function because 3 equals 3.

f(3) = 1/4(3)

f(3) = 3/4