The domain and range is [-4, 4] and [0, 4]
<h3 /><h3>What is Domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
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Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
: Reason; Given
Draw
so that M is the midpoint of
: Reason; Two points determine a line
: Reason; Definition of midpoint
: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
Answer:
Vertical compression
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Answer:
-66
Step-by-step explanation:
-(-2)^2=-4
-3(-2)(-3)+2(-3)^3= -62
-4-62= -66