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3 years ago

Which graph represents f(x)=

Mathematics

1 answer:

Crank3 years ago

7 0

Answer:

Step-by-step explanation:

There are 3 graphs

Graph B:

f(x) = 9, -5<x<5

Symmetrical about x =0

To the right of x = 5, Passes through (5,9) and (15,30)

Use two point formula

y-9/(30-9) = x-5/(15-5) or 21(x-5) = 10(y-9)

21(x-5) = 10(y-9)

because of symmetry about x =0, we get

equation as

f(x) = 2.1(x-5|)+90, for |x|>5

=9, for |x|<5

Graph C is symmetric about x =-5

Hence the equation has an |x+5| in it

Because both sides straight line, right line passes through (-5,0) and (0,5) and hence right equation is x/-5 +y/5 =1

Or x-y = -5

Or y =x+5

Left side line is y = -x-5

Put together y = f(x) = |x+5| for graph C

iii) GraphD:

Graph D has 3 different lines. Between 4 and t f(x) = 1

For x<4, Line passes through (3,3) and (4,1)

Using two point formula, y-3/(1-3) = x-3/(4-3)

Or -2x+6 = y-3 or 2x+y =9, for x <=4

For x>=4, line passes through (5,1) and (6,3)

Equation is (y-1)/(3-1) = (x-5)/(6-5) Or 2x-10 =y-1

2x-y =9

Together we can write f(x) as

y = |2x+9|,for x<=4 and x>=5

= 1, for 4<x<5

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Read 2 more answers

Explain how to write 1.25 times 10 to the negative third power in standard form

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This is called "Scientific Notation"

$1.25 \times {10}^{ - 3}$
So you will always see the 10... Don't worry about it but worry if it is negative or positive because the sign will determine how to move the decimal point.

So, since it is negative then we will be moving the decimal point to the left. And, if it was a positive 3 then we'd move the decimal point to the right!

We will be moving it to the left "3" times because it says - 3 not - 5, etc...
$1.25 \times {10}^{ - 3} = 0.00125$
So just move the decimal 3 times in this case and there you go, your standard form. I forgot what the other form is but I can still solve for it...

I hope this helped if you have any questions then feel free to ask!!

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