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 :)
Answer:
103/3 or 34.33333333
Step-by-step explanation:
just divede 412 by 12 and there your answer
<span>-(-7-9-20)+(-3+11-21)
= 7 + 9 + 20 - 3 + 11 - 21
= 47 - 24
= 23</span>
Answer:
It's D
Step-by-step explanation:
I'm not entirly sure, but i'm pretty sure that since the number line is coming form the left side that makes it negative. It stops on two and it's shaded in so D would be the correct answer.
Answer:
A
Step-by-step explanation:
