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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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3 years ago
A train leaves at 11:32 and arrives at 13:24. It travelled at an average speed of 85 km/h.
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Answer:

<h2>33.2Km</h2>

Step-by-step explanation:

<h3>Time used for journey = </h3>

13 : 24 - 11 : 32 = 1 : 92

1 : 92 = 1 hour 92 minutes

1 hour 92 minutes = 2 hours 32 minutes

<h3>changing 32 minutes to hours</h3>

1 h = 60 min

x = 32 min

x= 32 /60

x= 8/15 hours

<h3>Adding the 2hours to 8/15 hours</h3>

8/15 h + 2 h = 38 / 15

<h3>Using formula for distance</h3>

Distance = Speed × Time

Distance = 85km / h × 38 /15 h

Distance = 33.15 km

To 1DP = 33.2

3 0
2 years ago
Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries a
stira [4]

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9 fries + 6 cheeseburgers = $24×3

= $72

$72-$52=$20

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1 fries = $20÷5

= $4

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2 years ago
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
aleksklad [387]

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(-3,12)

Step-by-step explanation:

4 0
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Answer:

you have to aline it with what graph it is.

Step-by-step explanation:

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