{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} a

You know that a function is increasing $(↗)$ if its $y$-value increases when moving to the right along the $x$-axis, and that it is decreasing $(↘)$ if its $y$-value decreases. Based on this, highlight where the function increases and decreases.

The function is decreasing up until $x=0,$ and then it starts to increasing. Let's write these as intervals.

Interval | Increasing/Decreasing |
---|---|

$x<0$ | Decreasing |

$x>0$ | Increasing |

b

Let's do as in the previous part. We see that the function is increasing up to $x=-2.$ After that, it starts to decrease. It decreases until $x=3,$ where it starts to increase in value once more.

Let's write this as intervals.

Interval | Increasing/Decreasing |
---|---|

$x<-2$ | Increasing |

$-2<x<3$ | Decreasing |

$x>3$ | Increasing |

c

The graph shown in the diagram is a linear function, which means the function is either increasing or decreasing for **all ** values of $x.$ This function, in particular, is **increasing**, since it has a positive slope. That means the $y$-values get larger for each increasing value of $x.$