Answer: a: -2, b: 0
Step-by-step explanation:
f(2) means that x=2, and we need to solve for y.
On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.
f(x)=-4 means that y=-4, and we need to solve for x.
On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.
Answer:
6
Step-by-step explanation:
The x-axis of point A is 3, multiplied by the scale factor of 2 equals 6. Which means the x-axis of point A' would be 6.
Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is
This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:
The maximum value is 3
The function turns downward, hence the range is:
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.
