Select the graph of the equation below. y= -1/4x^2+1
1 answer:
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(a)
Domain:
we know that domain is all possible values of x for which any function ios defined
Here, curve is defined for all values of x
so, domain is
Range:
Range is all possible values of y for which x is defined
minimum value of y is -4
maximium value of y is +inf
so, range is
(b)
x-intercept:
It is the value of x where f(x)=0
so, the point where curve intersects on x-axis
and we get
and
(c)
Increasing interval:
where curve is moving upward
we can see that
Decreasing interval:
where curve is moving downward
we get
Constant:
constant means horizontal line
there is no horizontal line here
so, it does not exist
(D)
End behavior:
when x-->+inf
y is moving upward
so, y---->+inf
when x-->-inf
y is moving upward
so, y---->+inf
(E)
we can see that curve jupms at x=-1
so, there is discontinuity at x=-1
and this is jump type of discontinuity
(F)
For odd:
f(-x)=-f(x)
For even:
f(-x)=f(x)
we can see that none of them holds true
so, this is neither