If a graph is said to be EVEN, what can you say about its symmetry?

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

Answer:

A function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left. Notice that the graph remains unchanged after a reflection across the y-axis!

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What add's up to 5 and multiplies to -36

Masteriza [31]

X, y - the numbers

The numbers add up to 5 and multiply to -36.
$x+y=5 \\
xy=-36 \\ \\
y=5-x \\
xy=-36 \\ \\
\hbox{substitute 5-x for y in the second equation:} \\
x(5-x)=-36 \\
5x-x^2=-36 \\
-x^2+5x+36=0 \\
-x^2-4x+9x+36=0 \\
-x(x+4)+9(x+4)=0 \\
(-x+9)(x+4)=0 \\
-x+9=0 \ \lor \ x+4=0 \\
x=9 \ \lor \ x=-4 \\ \\
y=5-x \\
y=5-9 \ \lor \ y=5-(-4) \\
y=-4 \ \lor \ y=9 \\ \\
(x,y)=(9,-4) \hbox{ or } (x,y)=(-4,9)$

The numbers are -4 and 9.

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4 years ago

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Rzqust [24]

Answer: