Which relations are functions? Select Function or Not a function for each graph.
2 answers:
Answer: The graph (1) and (3) are not the graph of a function and only figure (2) and (4) shows the graph of a function.
Explanation:
A graph represents a graph of a function if the graph specifies the vertical line test.
Vertical line test states that the graph intersect each vertical line not more than one time. If the graph intersects any vertical line more that one time then it is not a graph of a function.
In figure (1) When we draw a vertical line on x = -3, then the curve intersects the line two times, therefore it is not a graph of a function.
In figure (3) When we draw a vertical line on x = 1, then the curve intersects the line two times, therefore it is not a graph of a function.
In figure (2) and (4) the curve and line will intersects all vertical line only one time, therefore figure (2) and (4) shows the graph of a function.
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Answer:
Step-by-step explanation:
If we see closely the figure consists of right angled triangle and a semi-circle, so area of the whole figure would be Area of the triangle + Area of the semi-circle so here goes,
We calculate firstly the Area of the triangle,
Now we calculate the area of the semi-circle,
Semi-circle is also called as Half of a circle, so,
then area of half a circle would be,
where r is the radius of the circle,
but we don't have the radius we have the diameter which is 8ft to find out the value of radius we divide the diameter by 2 , the formula is:
where d is the diameter and r is the radius of the circle, so,
so now we insert the value of radius which is 4ft into the area of a semi-circle,
Now the Area of the whole figure is
Area of Whole figure = Area of half a circle + Area of triangle
Area of whole figure = 25.12 + 24
Area of whole figure = 49.12 ft^2