The range of the given function is represented by {-6,-4,2}.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
Here, you need to replace the given domain values in the equation: f(x)=x-4. The question gives that the domain is represented by: -2 ,0 ,2 .
Thus,
For x=-2, you have:
f(x)= x-4
f(x)= -2-4
f(x)= -6
For x=0, you have:
f(x)= 0-4
f(x)= 0-4
f(x)= -4
For x=2, you have:
f(x)= x-4
f(x)= 2-4
f(x)= -2
Therefore, the range of the given function is {-6,-4,2}
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Answer:
Two
Explanation:
The solution of a system of equations is defined as the values which satisfies both equations.
Graphically, the solutions are represented by the points of intersection between the two equtaions.
In the given graph, we have a circle and a line, we can note that these two intersect in two points.
This means that the system has two solutions
Hope this helps :)
p→r
<h3>Law of syllogism</h3>
The law of syllogism, also known as transitivity reasoning, is a legitimate kind of deductive reasoning that adheres to a predetermined pattern. The transitive property of equality states that if a = b and b = c, then a = c. so we can conclude that The law of syllogism is almost similar to the transitive property.
now if we want to define general case then we can say tha
a→b
and
b→c => a→c
now according to statements given in the problem
p→q and q→r ⇒ p→r
which completes the syllogism.
hence , p→r is the required answer.
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A ) This is a quadratic function:
y = a x² + b x + c
If the starting point is ( 0, 0 ) then c = 0
b ) The function is:
y = - 0.2 x² + 3.6 x
( with coefficients to the nearest tenth )
The graph is in the attachment.
c ) The roots:
x 1 = 0,
0.2 x = 3.6
x = 3.6 : 0.2
x 2 = 18d ) This is near the target ( 17 m ) . So the pumpkin
will hit near the target.