Evaluate the piecewise function at the given values of the independent va

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(b)
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(b)
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Ask by Bob Kirk. in the United States

Mar 25,2025

Question

Evaluate the piecewise function at the given values of the independent va $$ f(x)=\left\{\begin{array}{ll}2 x+3 & 	ext { if } x<0 \ 4 x+7 & 	ext { if } x \geq 0\end{array}ight. $$ (a) $$ f(-3) $$ (b) $$ f(0) $$ (c) $$ f(1) $$ (a) $$ f(-3)=\square $$ (b) $$ f(0)=\square $$ (c) $$ f(1)=\square $$

UpStudy AI · Accepted Answer

1. For $$ f(-3) $$:
   - Since $$-3 < 0$$, use $$ f(x) = 2x + 3 $$.
   - Compute: 
     $$
     f(-3) = 2(-3) + 3 = -6 + 3 = -3.
     $$

2. For $$ f(0) $$:
   - Since $$0 \geq 0$$, use $$ f(x) = 4x + 7 $$.
   - Compute:
     $$
     f(0) = 4(0) + 7 = 0 + 7 = 7.
     $$

3. For $$ f(1) $$:
   - Since $$1 \geq 0$$, use $$ f(x) = 4x + 7 $$.
   - Compute:
     $$
     f(1) = 4(1) + 7 = 4 + 7 = 11.
     $$

Thus, the answers are:
- (a) $$ f(-3) = -3 $$
- (b) $$ f(0) = 7 $$
- (c) $$ f(1) = 11 $$
$$ f(-3) = -3 $$, $$ f(0) = 7 $$, $$ f(1) = 11 $$.

Evaluate the piecewise function at the given values of the independent va

(a)
(b)
©
(a)
(b)
©

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