Question

Math problem help WILL GIVE BRAINLYST 100 PTS

Answer 1

Answer:

f(-4) = 1

f(0) = 1

f(1) = - $\frac{3}{2}$

Step-by-step explanation:

         1                      if x ≤ -2

f(x) =  -(x - 1)² + 2      if -2 < x < 1

         - $\frac{1}{2}$ x - 1            if x ≥ 1

To find f(-4)

∵ -4 < -2

- That means we will use f(x) = 1 because value of x in this

    part is ≤ -2

∴ f(x) = 1

- Substitute x by -4, and remember f(x) = 1 is a constant function

    which means the value of y for any value of x is 1

∴ f(-4) = 1

To find f(0)

∵ -2 < 0 < 1

- That means we will use f(x) = -(x - 1)² + 2 because value of x in this

    part is between -2 and 1

∴ f(x) = -(x - 1)² + 2

- Substitute x by 0

∴ f(0) = -(0 - 1)² + 2

∴ f(0) = -(-1)² + 2

∴ f(0) = -1 + 2

∴ f(0) = 1

To find f(1)

∵ 1 ≥ 1

- That means we will use f(x) = - $\frac{1}{2}$ x - 1     because value of x in this

    part ≥ 1

∴ f(x) = - $\frac{1}{2}$ x - 1

- Substitute x by 1

∴ f(1) = - $\frac{1}{2}$ (1) - 1

∴ f(1) = - $\frac{1}{2}$ - 1

∴ f(1) = - $\frac{3}{2}$

Answer 2

Answer:

f(-4) = 1

f(0) = 1

f(1) = - \frac{3}{2}

Step-by-step explanation: