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# Common Core Standard HSF-IF.C.9 Questions

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

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At what domain is the function $f(x)= x-2$ less than ?
1. All real numbers
2. Nowhere
3. $-1 < x < 0$
4. $-2 < x < 1$
At what domain is the function $f(x)= 2x-2$ less than ?
1. All real numbers
2. $x > 0$
3. $-1 < x < 0$
4. $-2 < x$
At what domain is the function $f(x)= x+2$ greater than ?
1. All real numbers
2. Nowhere
3. $0 < x <2$
4. $-2 < x < 2$
At what domain is the function $f(x)= x-2$ less than ?
2. $x > 0$
3. $-1 < x < 0$
4. $-2 < x$
At what domain is the function $f(x)= 2x^2+2$ greater than ?
2. $x = 0$
3. $-1 < x < 1$