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# Module 3 Functions

### Funtion Notation and Graphing

Question | Answer |
---|---|

Graph the function f(x)=6x+2. | Set x equal to -1,0, and 1 and solve for each. Then graph. Or use the rules for y=mx+b. |

Find the equation of a line that is parallel to y=2x-4 and runs through (-1,3). Write equation in function notation and graph. | Slope intercept formula determines that the equation of the line in function notation is f(x)=2x+5. Use the rules for y=mx+b to graph the function. |

Find the equation of a line that is parallel to y=-3x+5 and runs through (3,6). Write your answer in function notation and graph. | Use the Slope-intercept formula to determine the equation of the line which is f(x)=-3x+7. You can either plug in 1,0, and -1 for x and solve or use the rules for y=mx+b to graph the line. |

Put the equation 6x+2y=10 in proper function notation and graph. | Isolate the y-variable. Once you do this you will be left with the equation y=-3x+5. Switching this equation to function notation will change it to f(x)=-3x+5. To graph either plug in -1,0, or 1 for x and solve or use the rules of y=mx+b. |

Are the following functions perpendicular? f(x)=2x+3 and f(x)=-1/2x+6. Graph the functions. | To determine if two line are perpendicular look at their slope. They must be negative reciprocals in order to be perpendicular. In this case they are because -1/2 is the negative reciprocal of 2. To graph use rules for y=mx+b. |

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