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Mathematics 16 Online
OpenStudy (anonymous):

Couple Questions...

OpenStudy (anonymous):

OpenStudy (anonymous):

Directrix (directrix):

Does the question mean what is the domain as taken from the chart OR what is the domain of the cosine function?

OpenStudy (anonymous):

The domain of the cosine function. (:

Directrix (directrix):

The domain of a function is the set of acceptable values of x. Usually the domain for the trig functions is given in terms of radians which are Real numbers. Degrees are not real numbers.

Directrix (directrix):

Forget about the domain for a minute and look at your graph. The range is the set of possible values of y. How big did y get on the graph? How small did y dip on the graph?

OpenStudy (anonymous):

OpenStudy (anonymous):

-1 ?

OpenStudy (anonymous):

and 1 ? I'm getting these answers by looking at where it dips the lowest and looking at where it starts 1.

Directrix (directrix):

That's right. The range is all real numbers between and including -1 and +1. In interval notation, that is written as [-1, 1] which means -1 ≤ y ≤ 1.

Directrix (directrix):

There are no numbers excluded from the domain, the set of acceptable values of x. So, the domain is, in interval notation, (-∞, +∞) which means all real numbers. You can write it as -∞ < x < +∞

Directrix (directrix):

@dopegyal_ Where does the graph cut the y-axis? That will be the y-intercept.

OpenStudy (anonymous):

@Directrix -90 , 90 ?

Directrix (directrix):

No.

Directrix (directrix):

Where is the Wolf's graph? The y-intercept is where the graph cuts the y-axis. Look at the graph. Hint: The x-coordinate of the y-intercept is 0.

OpenStudy (anonymous):

Directrix (directrix):

OpenStudy (anonymous):

lol ... 1 ?

Directrix (directrix):

Directrix (directrix):

Yes, some people would say 1 is the y-intercept. That is correct. The coordinates of the y-intercept are (0,1).

Directrix (directrix):

The x-intercepts of y = cos(x) are many. Look how many times the graph cuts the x-axis.

Directrix (directrix):

Here is a chart you need to study.

Directrix (directrix):

And, this, too.

OpenStudy (anonymous):

What am I supposed to put over the 2 ? ..

Directrix (directrix):

What 2? Think of pi as 180 degrees.

Directrix (directrix):

The cosine graph has infinitely many x-intercepts.

OpenStudy (anonymous):

Ohhh, okay I got you now. I definitely will study that.

Directrix (directrix):

Every 90 degrees, there is an x-intercept. Dreaming up a way to name them is baffling at first. |dw:1382090067774:dw|

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