Determine the domain on which the following function is increasing. Will give brainlist if correct

D : x ∈ (1, ∞)

Step-by-step explanation:

for a function  y = f(x)

The range is the set of possible values of y.

The domain is the set of the possible values of x.

We want to find the domain on which the function is increasing.

A function is increasing if, reading from left to right, the "y" value of the function increases (or the graph goes upward)

Then we need to see on which point the graph starts going up. We can see that this happens at the vertex of the parabola, at x = 1, and it keeps increasing infinitely.

then we can write this domain as:

D : x ∈ (1, ∞)

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.