Answer:
The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
Step-by-step explanation:
The domain is the set of values of the input (x)
The range is the set of values of the output (y)
In the given figure
∵ x is the input
∴ The set of the values of x is the domain
∵ Y is the output
∴ The set of the values of y is the range
∵ The smallest value of y is -6
∵ The greatest value of y is 8
→ That means values of y of the graph are from -6 to 8
∴ -6 ≤ y ≤ 8
∴ The range = {y : y ∈ R, -6 ≤ y ≤ 8}
∴ The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}
Answer:
10-52.85ft squared 11-144.84centimeters squared 12-304meters squared
Step-by-step explanation:
A-bh/2 10-7*15.1=105.7/2=52.85ft squared
A-bh 11-10.2*14.2=144.84cenitmeters squared
A-bh 20*15.2=304meters squared
Answer:
![f(-4)=48](https://tex.z-dn.net/?f=f%28-4%29%3D48)
Step-by-step explanation:
<u>Value of functions</u>
To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.
The given function is (corrected):
![f(x)=-4x+x^2+16](https://tex.z-dn.net/?f=f%28x%29%3D-4x%2Bx%5E2%2B16)
We need to find f(-4), so we use x=-4:
![f(-4)=-4*(-4)+(-4)^2+16](https://tex.z-dn.net/?f=f%28-4%29%3D-4%2A%28-4%29%2B%28-4%29%5E2%2B16)
![f(-4)=16+16+16](https://tex.z-dn.net/?f=f%28-4%29%3D16%2B16%2B16)
![\boxed{f(-4)=48}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28-4%29%3D48%7D)
Answer:
B, 215483cm^3
Step-by-step explanation:
volume of a cylinder equals its base area by its height;
.
its base area = r^2 x 3.14 = 15^2 x 3.14 = 706.5
.
volume = 706.5 x 305 = 215482.5 cm^3
.
approximately 215483 cm^3