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Function Notation & Graphing

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
True or False? <br>f(x) means f*x   False. f(x) is a special symbol used to denote a function. It's read f of x.  
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True of False? <br>The square root of a negative number is NOT a real number   True. No real number, when squared, will equate to a negative number.  
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Is the function f(x)=3x<sup>2</sup> linear?   No. This equation cannot be written Ax+By=C and therefore its graph is not a line.  
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When comparing the functions g(x)=x<sup>2</sup>+10 and f(x)=x<sup>2</sup>, do you find a horizontal or vertical shift? Is the shift up, down, left or right?   Since the addition is being done AFTER the squaring is done, the shift is UP by 10.  
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Which function will give you a V shaped graph? <br>f(x)=x<sup>2</sup> or f(x)=|x|?   f(x)=|x|  
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In the linear equation y=mx+b which variable represents the slope? Which variable represents the y-intercept?   m=slope, b=y-intercept  
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Which form is <br>y = mx + b?   Slope intercept form.  
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Does the following equation represent a horizontal or vertical line? y=c   Horizontal.  
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What do we know about the two lines if the product of their slopes is -1?   The lines are perpendicular.  
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Re-write y=3x-1 using function notation.   f(x)=3x-1  
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