Schultz Boyd
09/23/2024 · Senior High School
قم بتمثيل دالة خطية جديدة من خلال توسيع الدالة الأصلية \( h(x) = 0.5x + 1 \) بعامل 2.
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لتوسيع الدالة الأصلية \( h(x) = 0.5x + 1 \) بعامل 2، نقوم بضرب كل من الحدود في الدالة بعامل 2.
لذا، نقوم بالتالي:
\[
h(x) = 0.5x + 1
\]
نضرب كل حد في 2:
\[
h_{\text{expanded}}(x) = 2 \cdot (0.5x) + 2 \cdot 1
\]
هذا يعطينا:
\[
h_{\text{expanded}}(x) = 1x + 2
\]
وبالتالي، الدالة الخطية الجديدة هي:
\[
h_{\text{expanded}}(x) = x + 2
\]
Quick Answer
الدالة الخطية الجديدة هي \( h_{\text{expanded}}(x) = x + 2 \).
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