Answer:
[-3, 3]
Step-by-step explanation:
The range of <em>y = sin x</em> is the interval [-1, 1].
When you multiply the function by -3, you invert the function (symmetry with respect to the x-axis) and stretch is by a factor of 3 vertically.
The range now is [-3, 3]
f(x)=|x+2|-3 The maximum point is -3 because that is the vertical shift.
f(x)=-|x-2|-3 The minimum point is -3 because that is the vertical shift.
As for the problem in the picture, the vertex is (5,3) because you take the opposite in the absolute value sign and you leave the vertical shift the same, and the graph is shifted 5 units right and 3 units up (Knowing this shift can help you figure out the vertex). The graph opens downward because there is a negative sign in front of it. The maximum is 3 because that is the vertical shift.
Answer:
591511
Step-by-step explanation:
583986+7525=591511
Answer:
B
Step-by-step explanation:
So we have a 45-45-90 triangle.
This is a special right triangle. In a 45-45-90 triangle, the side lengths are x, and the hypotenuse will be x√2
Since the hypotenuse is 3, we can set it equal to x√2 to solve for x. Therefore:
![x\sqrt2=3](https://tex.z-dn.net/?f=x%5Csqrt2%3D3)
Divide both sides by √2:
![x=\frac{3}{\sqrt2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B%5Csqrt2%7D)
Rationalize:
![x=\frac{3\sqrt2}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%5Csqrt2%7D%7B2%7D)
Our answer is B.