If $$ f(x) $$ is defined as follows, find (a) $$ f(-1) $$, (b) $$ f(0) $$, and (c) $$ f(1) $$. $$ f(x)=\left\{\begin{array}{ll}x^{2} & ext { if } x0\end{array} ight. $$ (a) $$ f(-1)=1 $$ (Simplify your answer.) (b) $$ f(0)=\square $$ (Simplify your answer.)

Question

If $$ f(x) $$ is defined as follows, find (a) $$ f(-1) $$, (b) $$ f(0) $$, and (c) $$ f(1) $$. $$ f(x)=\left\{\begin{array}{ll}x^{2} & 	ext { if } x<0 \ 3 & 	ext { if } x=0 \ 2 x+1 & 	ext { if } x>0\end{array}ight. $$ (a) $$ f(-1)=1 $$ (Simplify your answer.) (b) $$ f(0)=\square $$ (Simplify your answer.)

UpStudy AI · Accepted Answer

The function is defined piecewise as follows: • If x < 0, then f(x) = x². • If x = 0, then f(x) = 3. • If x > 0, then f(x) = 2x + 1. (a) For f(−1): Since −1 < 0, we use the rule f(x) = x². f(−1) = (−1)² = 1. (b) For f(0): Since x = 0, we use the rule f(x) = 3. f(0) = 3. (c) For f(1): Since 1 > 0, we use the rule f(x) = 2x + 1. f(1) = 2(1) + 1 = 3. Thus, the answers are: (a) f(−1) = 1 (b) f(0) = 3 (c) f(1) = 3 (a) $$ f(-1) = 1 $$ (b) $$ f(0) = 3 $$

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Pre Algebra Questions