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SVETLANKA909090 [29]
3 years ago
7

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?

Mathematics
2 answers:
vivado [14]3 years ago
7 0
Hello there!

To find the increasing intervals for this graph just based on the equation, we should find the turning points first.

Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3

Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x

This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.

This means that the interval by which this parabola is increasing is...
(-∞,3/2)

PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.

I really hope this helps!
Best wishes :)
Mashcka [7]3 years ago
6 0

Answer:

C

Step-by-step explanation:

the answer is C

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(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

6 0
3 years ago
Read 2 more answers
Which point could be removed in order to make the relation a function? {(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)} Whic
myrzilka [38]
(3,-6) because you can't have two of the same x's in a function
7 0
2 years ago
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Can someone help me please
Ipatiy [6.2K]
The price of the shoes times .06 will give you the abswer
5 0
3 years ago
GIVING BRAINLEST TO THE PERSON WHO ANSWERS IT FIRST AND CORRECT!!
Kruka [31]

Answer:

read below explanation

Step-by-step explanation:

KEY= C;CAROL T;TINO B;BAXTER

inches: C=90 T=90 B=90

Feet: C=7.5 T=7.5 B=7.5

Yards C=2.5 T=2.5 B=2.5

5 0
3 years ago
Which is the simplified form of n Superscript negative 6 p cubed?
evablogger [386]

Answer:

Third option. \frac{p^3}{n^{6}}

Step-by-step explanation:

For this exercise you need to remember one of the properties for exponents.

There is a property called the "Negative property of exponents" which states the following:

b^{-n}=\frac{1}{b^n}

Where b \neq0

As you can observe,  b^n is the reciprocal of b^{-n}

In this case you have the following expression given in the exercise:

n^{-6}p^3

Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.

Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.

Then, the simplified form of  n^{-6p^3} is the one shown below:

n^{-6}p^3=\frac{p^3}{n^{6}}

3 0
3 years ago
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