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題目

解題步驟

1. Understand the question

   5 for which of the following functions does $f(2) = -1$? choose all that apply!
   a $f(x)=3^{x}-10$
   b $f(x)=\\frac{9}{4}x^{2}-10$
   c $f(x)=x-4$
   d $f(x)=3.5x-10$

2. Explanation

   Step1: Evaluate Option A at x=2

   Substitute $x=2$ into $f(x)=3^x - 10$:
   $f(2)=3^2 - 10 = 9 - 10 = -1$

   Step2: Evaluate Option B at x=2

   Substitute $x=2$ into $f(x)=\frac{9}{4}x^2 - 10$:
   $f(2)=\frac{9}{4}(2)^2 - 10 = \frac{9}{4} \times 4 - 10 = 9 - 10 = -1$

   Step3: Evaluate Option C at x=2

   Substitute $x=2$ into $f(x)=x - 4$:
   $f(2)=2 - 4 = -2$

   Step4: Evaluate Option D at x=2

   Substitute $x=2$ into $f(x)=3.5x - 10$:
   $f(2)=3.5 \times 2 - 10 = 7 - 10 = -3$

3. Final answer

   A. $f(x)=3^{x}-10$, B. $f(x)=\frac{9}{4}x^{2}-10$

答案

Question Analysis

OCR Text

5 for which of the following functions does $f(2) = -1$? choose all that apply!
a $f(x)=3^{x}-10$
b $f(x)=\\frac{9}{4}x^{2}-10$
c $f(x)=x-4$
d $f(x)=3.5x-10$

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