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# f(x) & graphing

### Function Notation & Graphing

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. |

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. |

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. |

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. |

Which function will give you a V shaped graph? <br>f(x)=x<sup>2</sup> or f(x)=|x|? | f(x)=|x| |

In the linear equation y=mx+b which variable represents the slope? Which variable represents the y-intercept? | m=slope, b=y-intercept |

Which form is <br>y = mx + b? | Slope intercept form. |

Does the following equation represent a horizontal or vertical line? y=c | Horizontal. |

What do we know about the two lines if the product of their slopes is -1? | The lines are perpendicular. |

Re-write y=3x-1 using function notation. | f(x)=3x-1 |

Created by:
kjayska