Nonlinear Functions

If you were trying out for an athletic team, or auditioning for a musical band, stage, TV or movie role, would you:

• use all the time given but not do my best

• finish as fast as I could.

• do my best on half of what they asked me to do

• use all the time available and do my best on everything asked of me.

Which function creates this graph?

• $y=x$

• $y=2x$

• $y=x^2$

• $y=\sqrt{x}$

Which function creates this graph?

• $y=x^2$

• $y=\sqrt{x}$

• $y=x+0$

• $y=4x$

Which function generates this graph?

• $y=3x$

• $y=x^2$

• $y=x+3$

• $y=x^3$

Which graph would the function  $y=x^2+1$  generate?

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Which graph would the function  $2x^2+1$  generate?

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Which graph would the function  $y=-x^2+4$  generate?

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Which graph would the function  $y=x^3-2$  generate?

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Which graph would the function  $y=\sqrt{x}+3$  generate?

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When you jump off a diving a 10 m diving board, the distance you travel can be modeled by  $d=-\frac{1}{2}gt^2+10$  , where 'g' is the acceleration from gravity,  $\frac{9.8m}{s^2}$  , and 10 is your initial height. Which graph best represents the path you travel?

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