Answer:
[tex]f(-1) = -10[/tex]
[tex]f(0) =- 8[/tex]
[tex]f(2) = 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6x - 4[/tex] --- [tex]x < 0[/tex]
[tex]f(x) = 6x - 8<0[/tex] -- [tex]x \ge 0[/tex]
Solving (a); f(-1)
Here [tex]x= -1[/tex]
[tex]-1 < 0[/tex], so:
[tex]f(x) = 6x - 4[/tex]
[tex]f(-1) = 6 *-1 -4[/tex]
[tex]f(-1) = -10[/tex]
Solving (b); f(0)
Here [tex]x = 0[/tex]
[tex]0 \ge 0[/tex], so:
[tex]f(x) = 6x - 8[/tex]
[tex]f(0) = 6*0 - 8[/tex]
[tex]f(0) =- 8[/tex]
Solving (c) f(2)
Here [tex]x = 2[/tex]
[tex]2 \ge 0[/tex], so:
[tex]f(x) = 6x - 8[/tex]
[tex]f(2) = 6*2 - 8[/tex]
[tex]f(2) = 4[/tex]
