Given:
The graph of function.
To find:
The correct statement for the domain and range of the given graph.
Solution:
Domain: The set of input values.
Range: The set of output value.
From the given graph it is clear that the graph represents a polynomial function.
The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.
The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.
Therefore, the correct options are B and D.
Answer:
Step-by-step explanation:
A ball is the solid inside a surface which is a sphere.
The equation of a sphere has the form:
Where (h,k,s) is the center and r is the radius.
When we plug the given center (7,1,-1) and radius 3 we get:
Then we turn this into an inequality: Since the ball is inside the surface we must use the
symbol.
Then we just subtract 9 from both sides to get:
Answer: No real answer
Step-by-step explanation:
4/-2 = -2
8/4 = 2
16/8 = 2
-32/16 = -2
The ratio is not equal and the sequence is not geometrical
Options are not shown but…
A square has 4 equal length sides and a right angle
Or two equal length diagonals which are perpendicular
Or 4 right angled corners and two adjacent sides equal
Or perpendicular diagonals with the same midpoint
Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED