Home | | |||||||

Real Number System | | Absolute Value | | Functions and Graphs | | Trigonometry | | Basic Graphing Skills | | Studying a Function | | Algebraic Skills | | Answer Section |

Section 1 | Section 2 | Section 3 | | Section 4 | Section 5 | | Section 6 | Section 7 | Section 8 | Section 9 | Section 10 | Section 11 | Section 12 | | Section 13 | Section 14 | Section 15 | Section 16 | Section 17 | Section 18 | | Section 19 | | Section 20 | Section 21 | Section 22 | | Section 23 | | Answers |

Function is positive (y>0) | when x >0 | y is positive when x is positive |

Function is negative (y<0) | when x<0 | y is negative when x is negative |

Function equal to zero | when x = 0 | y is zero when x is zero |

Slope of function | constant (always equal to 1) | slope is constant--always 1 |

Function is positive (y>0) | when x >0 or x <0 |
y values are positive for any value of x no equal to zero. |

Function equal to zero | when x = 0 | y equals 0 only when x equals zero |

Slope of function | constant when x <0 (always equal to -1) and constant when x>0 (always equal to +1) | two different slopes |

Function is positive (y>0) | when x >0 or x<0 |
y is positive when x is negative |

Function equal to zero | when x = 0 | y equals zero when x equals zero |

Slope is negative and changing | when x<0 | slope is negative and changing when x is negative-- As x values increase, the slope increases |

Slope is zero | when x = 0 | slope is zero when x is zero |

Slope is positive and changing | when x>0 | slope is positive and changing when x is positive-- As x increases the slope increases |

Function is positive (y>0) | when x >0 | y is positive when x is positive |

Function is negative (y<0) | when x<0 | y is negative when x is negative |

Function equal to zero | when x = 0 | y is zero when x is zero |

Slope is always positive | when x is not equal to zero | slope is positive and
changing when x is negative--As x increases the slope
increases
slope is positive and changing when x is positive--As x increases the slope increases |

Slope is zero | when x = 0 | slope is zero when x is zero |

Function is positive (y>0) | when x >0 | y is positive when x is
positive
y values are increasing as x values increase |

Function is negative (y<0) | when x<0 | y is negative when x is
negative
y values are increasing as x values increase |

Function equal to zero | when x = 0 | y is zero when x is zero |

Slope is always positive | when x is not equal to zero | slope is positive and
increasing as x values are negative and increasing
slope is positive and decreasing when x is positive and increasing |

Slope is undefined | when x = 0 | slope is undefined at (0,0) or you can draw a tangent line with no slope at the point (0,0) |

Function is positive (y>0) | when x >0 | y is positive when x is positive |

Function is negative (y<0) | when x<0 | y is negative when x is negative |

Function is not defined | when x = 0 | y is undefined when x is zero |

Slope is negative and changing | when x does not equal zero | slope is negative and
decreasing as x is negative and increasing
slope is negative and increasing when x is positive and increasing |

This equation is not a function of x or y but can be written as two functions or |
|||||

is positive | for all values of x between -2 and 2 inclusive | y is positive for all x between -2 and 2 inclusive | is negative | for all values of x between -2 and 2 inclusive | y is negative for all x between -2 and 2 inclusive |

has positive slope | when x>-2 and x<0 | slope is positive and decreasing as x goes from -2 to 0 | has negative slope | when x>-2 and x<0 | slope is negative and increasing as x goes from -2 to 0 |

has zero slope | when x = 0 | slope is zero when x is zero | has zero slope | when x = 0 | slope is zero when x is zero |

has negative slope | when x>0 and x<2 | slope is negative and decreasing as x goes from 0 to 2 | has positive slope | when x>0 and x<2 | slope is positive and increasing as x goes from 0 to 2 |

has undefined slope | when x = -2 or x = 2 | Slope is undefined when x is -2 or 2 | has undefined slope | when x = -2 or x = 2 | slope is undefined when x is -2 or 2 |

is positive | for all values of x between -2 and 2 inclusive | y is positive when x is between -2 and 2 |

is zero | for x = -2 and x = +2 | y is zero when x equals -2 and -2 |

has positive slope | when x>-2 and x<0 | slope is positive and decreasing as x changes from -2 to 0 |

has zero slope | when x = 0 | slope is zero when x = 0 |

has negative slope | when x>0 and x<2 | slope is negative and decreasing as x changes from 0 to 2 |

has undefined slope | when x = -2 or x = 2 | slope is undefined at x equals -2 and 2 |

This equation is not a function of x or y but can be written as two functions or | |||||

is positive | for all values of x between -2 and 2 inclusive | y is positive when x is between -2 and 2 | is negative | for all values of x between -2 and 2 inclusive | y is negative when x is between -2 and 2 |

has positive slope | when x>-2 and x<0 | slope is positive and decreasing as x increases from -2 to 0 | has negative slope | when x>-2 and x<0 | slope is negative and increasing as x increases from -2 to 0 |

has zero slope | when x = 0 | slope is zero when x = 0 | has zero slope | when x = 0 | slope is zero when x is zero |

has negative slope | when x>0 and x<2 | slope is negative and decreasing as x increases from 0 to 2 | has positive slope | when x>0 and x<2 | slope is positive and increasing as x increases from 0 to 2 |

has undefined slope | when x = -2 or x = 2 | slope is undefined at x equals -2 and +2 | has undefined slope | when x = -2 or x = 2 | slope is undefined at x equals -2 and +2 |

This equation is not a function of x or y but can be written as two functions or | |||||

is positive | for all values of x less than -2 or all x values greater than 2 | y is positive when x is greater than 2 or x is less than -2. | is negative | for all values of x between -2 and 2 inclusive | y is negative when x is greater than 2 or x is less than -2 |

has negative slope | when x<-2 | slope is negative and decreasing as x increases from negative infinity to -2 | has positive slope | when x<-2 | slope is positive and increasing as x increase from negative infinity to -2 |

has positive slope | when x>2 | slope is positive and decreasing as x increases from 2 to infinity | has negative slope | when x>2 | slope is native and increases as x increases from 2 to infinity |

has undefined slope | when x = -2 or x = 2 | slope is undefined at x equal -2 or 2 | has undefined slope | when x = -2 or x = 2 | slope is undefined at x equal -2 or 2 |

is positive | for all values of x | y is positive for all x values |

has positive slope | for all values of x | slope is positive and
increasing as x increases--
slope approaches zero as x approaches negative infinity |

never equals zero | for any values of x | y is never zero or negative |

is positive | for all values of x>1 | y is positive when x is greater than 1 |

is negative | for all values of x>0 and X<1 | y is negative when x is less than 1 |

is equal to zero | for x=1 | y is zero when x is 1 |

is positive slope | for any values of x>0 | slope is positive for
all x
slope is approaching zero as x approaches positive infinity |

This page was modified on 03/21/16

© Rahn, 2000