Question
23 Type the correct answer in each box. Use numerals instead of words. Consider function \( g \). \( g(x)=\left\{\begin{array}{ll}6, & -8 \leq x<-2 \\ 0, & -2 \leq x<4 \\ -4, & 4 \leq x<10\end{array}\right. \) What are the values of the function when \( x=-2 \) and when \( x=4 \) ? \( g(-2)= \) \( g(4)= \)
Ask by Mathis Davey. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( g(-2)=0 \)
\( g(4)=-4 \)
Solution
\( g(-2)=0 \)
\( g(4)=-4 \)
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Extra Insights
For \( x = -2 \), we check the piecewise function. The second condition states that for \( -2 \leq x < 4 \), \( g(x) = 0 \). Therefore, \( g(-2) = 0 \). For \( x = 4 \), the third condition states that for \( 4 \leq x < 10 \), \( g(x) = -4 \). Hence, \( g(4) = -4 \). So, your answers are: \( g(-2)= 0 \) \( g(4)= -4 \)