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# Function Notation

### Module 3: Function Notation and Graphing

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

The notation “ f(x)” means? What is this called? | "f of x" This is called function notation. |

If f(2)= -1, what does x=? what does y=? | When f(2)= -1 x=2 y= -1 |

What is the opposite of squaring a number? | The square root. |

If 4^2= 16, what does square root of 16=? | The square root of 16= 4 |

If y= f(x+k), then what happens to a graph? If y= f(x-k), what happens to a graph? What type of shift is this? | When y=f(x+k), the k>0 which causes a left shift to a graph. When y=f(x-k), the k<0 which cause a right shift to a graph. This is known a horizontal shift. |

If y=f(x)+k, then what happens to a graph? If y=f(x)-k, then what happens to a graph? What type of shift is this? | When y=f(x)+k, the k>0 which causes an upward shift on a graph. When y=f(x)-k, the k<0 which causes a downward shift on a graph. This is known as a vertical shift. |

When speaking in quadrants on the graph, what would the coordinates look like in I, II, III and IV quadrant, if there was a reflection done on a graph? II | I ----+---- III | IV | In coordinates would look as follows, I. (x,y) II. (-x, y) III. (-x,-y) IV. (x,-y) |

If the graph reflects over the y-axis what being affected in the f(x) function? If the graph reflects over the x-axis what being affected in the f(x) function? | When there is a reflection over the y-axis the f(x) function has a negative change done to the x. When there is a reflection over the x-axis the f(x) function has a negative change done to the y. |

What is a non-linear function? | A non-linear function is defined as a polynomial function of degree 2 or higher. |

What does a non-linear graph look like? What are some of the functions of non-linear equations? | A non-linear graph is any graph that does not have a constant slope and looks like a straight line. Non-linear equations include: f(x)=ax^2 +bx+c f(x)=(1/x) f(x)= x^3 |

Created by:
emilyh8