Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Answer:
13√2 is the answer in surd form
See Explanation
Step-by-step explanation:
1. By interior angle sum Postulate of a triangle.
From equations (1) & (2), we find:
Hence proved
2. In
is exterior angle.
Therefore, by remote interior angle theorem, we have:
From equations (1) & (2), we find:
is an isosceles triangle.
Thus proved.
Answer:
8/7
Step-by-step explanation:
The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.
Answer:
A / commutative property
Step-by-step explanation: