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chris215

  • one year ago

Find the range for f(x) = x2 + 1, for x < 0. y ≥ 1 y > 1 y < 1 y ≤ 1 A?

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  1. freckles
    • one year ago
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    \[x<0 \\ \text{ multiply } x \text{ on both sides } x \cdot x >0 \cdot x \\ \text{ do you know why I change the direction of the inequality ? }\]

  2. freckles
    • one year ago
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    hint: what does x<0 mean in words

  3. chris215
    • one year ago
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    x less than 0?

  4. freckles
    • one year ago
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    or x is negative if you multiply both sides of an inequality by a negative number you have to change the direction of the inequality

  5. freckles
    • one year ago
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    \[x<0 \\ x \cdot x> 0 \cdot x \\ x^2 >0 \\ \text{ now add 1 on both sides } x^2+1>0+1\]

  6. freckles
    • one year ago
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    \[x^2+1>1 \]

  7. freckles
    • one year ago
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    remember x^2+1 is y since we had f(x)=x^2+1

  8. chris215
    • one year ago
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    ohh ok thank you!

  9. freckles
    • one year ago
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    np

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