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# Module (3)

Answer | |
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The notation y=f(x) denotes that the ______, y is a _____, of x. | The notation y=f(x) denotes that the variable y is a function of x. |

In function notation, the input value is a member of the _____, and the output value is a member of the _____. | In function notation, the input value is a member of the domain, and the output value is a member of the range. |

Rewrite y=mx+b in function notation, where m, is the slope, and (0,b) is the y-intercept | f(x)=mx+b. m, is the slope and (0,b) is the y-intercept. |

The curve of the connected points on a graph, that is a mirror image of itself, across the y-axis, is called a ___. | Parabola |

If K is a positive number, The graph of g(x)=f(x)+k, is the same as f(x) moved K units ____, and the graph of g(x)=f(x)-k, is the same as f(x) moved K units ____. | If K is a positive number, The graph of g(x)=f(x)+k, is the same as f(x) moved K units upward, and the graph of g(x)=f(x)-k, is the same as f(x) moved K units downward. |

If H is a positive number, The graph of g(x)=f(x-h), is the same as f(x), moved H units to the ____, and the graph of g(x)=f(x+h) is the same as f(x), moved H units, to the ____. | If H is a positive number, The graph of g(x)=f(x-h), is the same as f(x), moved H units to the right, and the graph of g(x)=f(x+h) is the same as f(x), moved H units, to the left. |

Equations that cannot be written in the form, ______, do not have graphs that are lines. | Equations that cannot be written in the form, Ax+By=C, do not have graphs that are lines. |

The opposite of __ a number is taking the ____ of a number. Thus the ___ of 9, is ___, since __ is __ and, ___ =9, and the __ of -36, is ___, | The opposite of squaring a number is taking the square root of a number.Thus the square root of 9, is 3, since 3 is positive and (3)(3)= 9, and the square root of -36, is NOT A REAL NUMBER, because there is no real number squared that = a negative #. |

The graph of g(x)= -f(x) is the graph of f(x), ____, about the __ axis. | The graph of g(x)= -f(x) is the graph of f(x), reflected, about the x- axis. |

Created by:
Olivia_Polite