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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?
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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freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[x<0 \\ \text{ multiply } x \text{ on both sides } x \cdot x >0 \cdot x \\ \text{ do you know why I change the direction of the inequality ? }\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1hint: what does x<0 mean in words

freckles
 one year ago
Best ResponseYou've already chosen the best response.1or x is negative if you multiply both sides of an inequality by a negative number you have to change the direction of the inequality

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[x<0 \\ x \cdot x> 0 \cdot x \\ x^2 >0 \\ \text{ now add 1 on both sides } x^2+1>0+1\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1remember x^2+1 is y since we had f(x)=x^2+1
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