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2 years ago

End Behaviors

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

3 0

<h3>#End behaviour:-</h3>

Left:-Rise
Right:-Fall

Left:-Rise
Right:-Fall

<h3>#Degree:-</h3>

Find nodes

2
Even degree function

It's a parabola so it's the graph of a quadratic equation.

Even degree function

<h3>Real zeros</h3>

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What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago

Please help <br>is this a function or not

JulsSmile [24]

It’s not a function cause the x is repeating

8 0

3 years ago

Read 2 more answers

Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an

mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

$80d+61=701$

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

$80d+61-61=701-61\\\\80d = 640$

Now Dividing both side by 80 we get;

$\frac{80d}{80}=\frac{640}{80}\\\\d=8$

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0

3 years ago

Pls help me with this and an explanation

SCORPION-xisa [38]

Answer:

The relationship in this equation is linear, but not proportional. If it was proportional, then replacing x with nx should give ny as the answer. Example:

y = 3x

Replace x with 2x.

y' = 3(2x) = 2(3x) = 2y

y' = 2y

This is proportional. But if you replace x with 2x in

y = 3x + 5,

you will not get 2y for y'. This case is not proportiona

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2 years ago

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The diameter of a circle is 16 in . Find its circumference in terms of pi?

77julia77 [94]

Answer:

Circumference of circle = πd = π × 16 =16 π in.

circumference of circle = 2πr = 2×π×8= 16 π in.

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3 years ago