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maxonik [38]
3 years ago
7

How do I determine if a function is even, odd, or neither​

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

The way to do is dow below

Step-by-step explanation:

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

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Vitek1552 [10]

there are 4,500 of 4 digit multiples of 2

6 0
3 years ago
Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?
Lerok [7]

bearing in mind that "a" is the length of the traverse axis, and "c" is the distance from the center to either foci.

we know the center is at (0,0), we know there's a vertex at (-48,0), from the origin to -48, that's 48 units flat, meaning, the hyperbola is a horizontal one running over the x-axis whose a = 48.

we also know there's a focus point at (50,0), that's 50 units from the center, namely c = 50.


\bf \textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ \textit{asymptotes}\quad y= k\pm \cfrac{b}{a}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}


\bf \begin{cases} h=0\\ k=0\\ a=48\\ c=50 \end{cases}\implies \cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{b^2}=1 \\\\\\ c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b\implies \sqrt{50^2-48^2}=b \\\\\\ \sqrt{196}=b\implies 14=b~\hspace{3.5em}\cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{14^2}=1\implies \cfrac{x^2}{48^2}-\cfrac{y^2}{14^2}=1

8 0
3 years ago
Read 2 more answers
Translate f(x) = (x so that it's translated down by 2 units and to the left 6 units.
svp [43]
Dude it’s easy just learn math
3 0
3 years ago
A set of furniture contains one table and four chairs How much does one chair cost, if the table costs 80 dollars and the whole
ankoles [38]

c = chair

200 = 80 + 4c

Subtract 80 from 200

120 = 4c

Divide 120 by 4

30 = c

200 = 80 + 4(30)

One chair costs $30

8 0
3 years ago
I NEED HELP!!
Solnce55 [7]

Answer:

...

Step-by-step explanation:

4 0
3 years ago
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