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Which of the following linear functions is increasing?
g(x)=x+2g(x)=x+2g(x)=x+2
h(x)=−x+2h(x)=-x+2h(x)=−x+2
Which of the following quadratic functions is increasing?
g(x)=x2x≤0g(x)=x^2x\le0g(x)=x2x≤0
h(x)=x2,x≥0h(x)=x^2,x\ge0h(x)=x2,x≥0
f(x)=2x+2f(x)=2x+2f(x)=2x+2
f(x)=−2x+2f(x)=-2x+2f(x)=−2x+2
g(x)=x2+5x≥0g(x)=x^2+5x\ge0g(x)=x2+5x≥0
h(x)=−x2+5,x≥0h(x)=-x^2+5,x\ge0h(x)=−x2+5,x≥0
f(x)=x2−2,x≤0f(x)=x^2-2,x\le0f(x)=x2−2,x≤0
f(x)=−x2+2,x≥0f(x)=-x^2+2,x\ge0f(x)=−x2+2,x≥0
h(x)=−x2,x≥0h(x)=-x^2,x\ge0h(x)=−x2,x≥0
f(x)=〖−x〗2x≤0f(x)=〖-x〗^2x\le0f(x)=〖−x〗2x≤0
g(x)=−x+5g(x)=-x+5g(x)=−x+5
h(x)=x+5h(x)=x+5h(x)=x+5
Which of the following absolute value functions is increasing?
f(x)=∣x∣,x≥0f(x)=|x|,x\ge0f(x)=∣x∣,x≥0
f(x)=−∣x∣,x≥0f(x)=-|x|,x\ge0f(x)=−∣x∣,x≥0
g(x)=x2−2,x≤0g(x)=x^2-2,x\le0g(x)=x2−2,x≤0
h(x)=〖−x〗2+2,x≤0h(x)=〖-x〗^2+2,x\le0h(x)=〖−x〗2+2,x≤0
g(x)=xg(x)=xg(x)=x
h(x)=−xh(x)=-xh(x)=−x
It is done.