Answer:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
Step-by-step explanation:
We are given the function f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.
The f(x) = - |x| +4 has two important caracteristics:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.
Attached you can find the graph
Answer:
let Φ be the central angle of the arc
pi*2r = 20
r = 10/pi
arc length= 2pi*r*(Φ/360°)
4 = 2pi*r*(Φ/360°)
Φ=2/10 * 360° =72° degree
Hello there! Yes, A is a function. Something is a function is when it has no repeating x values. In the given equation, there are no repeating x values. This makes it a function.
I hope this helps!