Domain and Range: determine the domain and Range for each graph
1 answer:
Given:
The graph of a function.
To find:
The domain and range of the given graph.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that, the graph is defined for the interval (-4,4).
But there is a closed circle at x = -4 and an open circle at x = 4. It means, -4 is included and 4 is not included in the solution set.
Domain: [-4,4)
Domain:
Range is the set of y-values or output values.
From the given graph it is clear that, the output values are lie in the interval (-3,4).
But there closed circle at x = -3 and x = 4. It means, -3 and 4 are is included in the set of output values.
Range: [-3,4]
Range:
Therefore, domain is and range is
.
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Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.
