kaydevil
Answered

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Evaluate when f(-3) and f(7)
f(x) = {3x-1,tfx>4
{2x,tfx<4
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Evaluate When F3 And F7 Fx 3x1tfxgt4 2xtfxlt4 class=

Sagot :

Answers:

  • f(-3) = -6
  • f(7) = 20

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Explanation:

The piecewise function f(x) changes based on what the input is.

We have two cases:

  • Case A) if x > 4, then f(x) = 3x-1
  • Case B) If [tex]x \le 4[/tex], then f(x) = 2x

The input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input

f(x) = 2x

f(-3) = 2(-3)

f(-3) = -6

In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.

f(x) = 3x-1

f(7) = 3(7)-1

f(7) = 21-1

f(7) = 20

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Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.

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