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# Calculus Chapter 1

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

f(-x)=f(x) | even |

f(-x)=f(x) | odd |

A _____ f is a rule that assigns to each element x in a get D exactly one element, called f(x) in a set. | function |

__ is the independent | Y |

__ is the dependent | X |

A Curve in the xy-plane is the graph of a function of x; f and only if no vertical line intersects the curve more than once | The vertical Line test. |

What type of function is y=mx+b? | Linear function |

What type of function is y=a(n)x^n+a(n-1)x^(n-1) ... a(2)x^2,a(1),a(0) | polynomial function |

What type of function is y=ax^2+bx+c | quadratic function |

What type of function is y=ax^3+bx^2+cx+d | cubic function |

What type of function is (-b(+-)((b^2-4ac)^(.5)))/2a | quadratic formula |

What type of function is y=x^a | power function |

What type of function is y=(x)^(1/n) | root function |

domain of y=(x)^(1/n) n=even | D: [0,inf) |

domain of y=(x)^(1/n) n=odd | D: (-inf,inf) |

What type of function is y=1/x | reciprocal function |

What type of function is y=P(x)/Q(x) | rational function |

What type of function is y=sin(x), cos(x) | trigonometric function |

What type of function is y=a^x | exponential function |

What type of function is y=log(a)x | logarithmic function |

What happens when you y=f(x)+c? | shift c upward |

What happens when you y=f(x)-c? | shift c downward |

What happens when you y=f(x+c)? | shift c left |

What happens when you y=f(x-c)? | shift c right |

What happens when you y=cf(x)? | stretch vertically by c |

What happens when you y=(1/c)f(x)? | compress vertically by c |

What happens when you y=f(cx)? | compress horizontally by c |

What happens when you y=f(x/c))? | stretch horizontally by c |

What happens when you y=-f(x)? | reflect about the x-axis |

What happens when you y=f(-x)? | reflect about the y-axis |

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