Question

Consider the function:

f(x) = 7/2+ 2x, x less-than-or-equal-to -1
2nd row -5 + 3x Over 2, -1 less-than x less-than
3 Third row one-fourth x, 2nd column x greater-than-or-equal-to 3.
What are these values?
f(−3) =
f(−1) =
f(3) =

Answer 1

Answer: f(−3) = -5/2

f(−1) = -5/2

f(3) = 3/4

Step-by-step explanation: For x ≤ -1, we have:

f(x) = 7/2 + 2x

For x = -3, we have:

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

f(-3) = 7/2 - 6

f(-3) = -5/2

For x = -1, we have:

f(-1) = -5 + 3(-1)/2

f(-1) = -5/2

For -1 < x < 3, we have:

f(x) = -5 + 3x/2

For x = 3, we have:

f(3) = 1/4 (3)

f(3) = 3/4