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# Module 3 SS

### Function Notation and Graphing

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

√-4 = ? | The square root of a negative number is Not an integer |

Find f(2) for the function f(x) = 2x + 3 | Substitute the value given in the question. f(2) = 2(2) + 3, f(2) = 4 + 3, f(2) = 7 |

f(x) = x² + 2x + 12. Find the value when x=5 | Substitute the value x = 5 in the equation. f(5) = 5²+ 2(5) + 12 = 25 + 10 + 12 = 47 |

Graph the function y = f(x) = x² - 1 | Find the values of y with the corresponding values of x as follows: x = 0, then y = -1 : x = 1, then y = 0 : x = -1, then y = 0 |

The Square Root of a number | The number that when squared (x^2) is equal to the original number of the problem. Ex. 2² = 4, Therefore, √4 = 2 |

Linear Function Fact | The graph of a linear function is a non vertical line |

An equation such as, y = function (x) | If x is squared, cubed, or raised to any power except 1, the function is NON LINEAR. |

Nonlinear Function Fact | The graph of a non linear function is not a straight line |

-f(x) | Reflects f(x) over the x-axis |

f(-x) | Reflects f(x) over the y-axis |

Find f(-2) | f(x) = x³ + 3x² - 5x - 6 | Replace the x-values with -2. f(-2) = (-2)³ + 3(-2)² - 5(-2) - 6 = 8 |

Created by:
AaronC92