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olga_2 [115]
2 years ago
7

What is the end behavior of the graph of f(x) = – 0.5x^2 – 3x – 4?

Mathematics
1 answer:
Mariulka [41]2 years ago
7 0

We will see that as x tends to ± ∞, the function tends to -∞.

  • for  x ⇒ ∞, f(x)  ⇒ -∞
  • for  x ⇒ -∞, f(x)  ⇒ -∞.

<h3><u>What is the end behavior?</u></h3>

We define the end behavior as how the function behaves as x tends to very large, in absolute value, values.

In this case we have a quadratic equation:

f(x) = -0.5*x^2 - 3*x - 4

Here you can see that the leading coefficient is negative, thus, the arms of the graph will go downwards.

This means that in the limits of x ⇒ ∞ and x ⇒ -∞, the function will tend to negative infinity.

Then the end behavior can be written as:

  • for  x ⇒ ∞, f(x)  ⇒ -∞
  • for  x ⇒ -∞, f(x)  ⇒ -∞.

If you want to learn more about end behavior, you can read:

brainly.com/question/11275875

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If a°, 30° and 2a° are the angle of triangle find a°​
valina [46]

Answer:

a=50

Step-by-step explanation:

a + 2a + 30 = 180

3a + 30 = 180

(-150 from both sides)

3a = 150

(Divide by 3 from both sides)

a = 50

8 0
3 years ago
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
2 years ago
Factor completely: x^2 - 5x - 6
Tom [10]

Answer:

x×x-5x-6

x × -4X - 6

Step-by-step explanation:

x×x-5x-6

x × -4X - 6

6 0
3 years ago
Eighty-seven decreased by three times a number is greater than one hundred sixty-five
QveST [7]
The answer
the question is not clear
if it is to determine how to write this phrase as a mathematics equation, it is as follow:
let be x the unknown number
so <span>ighty-seven decreased by three times a number is greater than one hundred sixty-five means  87 - 3x>165, 
so we can solve it easily as 87 - 165> 3x, and then 3 x > 32, and finally the value of x is x > 32/3=10.66</span>
3 0
3 years ago
-5 &lt; x - 4 greater than it equal 1
saul85 [17]

We have expression -5 < x - 4 \geq 1 that renders the system of inequalities,

\begin{cases}-5 < x - 4 \\x - 4 \geq 1\end{cases}

Which can be simplified to,

\begin{cases}x > -1 \\x \geq 5\end{cases}

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}.

Hope this helps.

6 0
3 years ago
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