Answer the questions about the following function.
f left parenthesis x right parenthesis equals startfraction 16 x squared over x superscript 4 baseline plus 64 endfractionf(x)=16x2 x4+64
(a) is the point
left parenthesis negative 2 startroot 2 endroot comma 1 right parenthesis−22,1
on the graph of f?
(b) if
x equals 2 commax=2,
what is f(x)? what point is on the graph of f?
(c) if
f left parenthesis x right parenthesis equals 1 commaf(x)=1,
what is x? what point(s) is (are) on the graph of f?
(d) what is the domain of f?
(e) list the x-intercepts, if any, of the graph of f.
(f) list the y-intercept, if there is one, of the graph of f.

Step-by-step explanation:

(a) The function ...

can be evaluated for x=-2√2 to get ...

The point (-2√2, 1) is on the graph of f(x).

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(b) Likewise, we can evaluate for x=2:

The point on the graph is (2, 0.8).

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(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.

The points (±2√2, 1) are on the graph.

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(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.

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(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.

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(f) The only y-intercept is at the origin, (0, 0).

At the above function f(x) = 1, at x = 2 the given function f(x) = 0.8, the domain of f are all real numbers, x-intercept and y-intercept is at the origin (0,0).

Given :

a) At the above function becomes.

Simplify the above expression in order to determine the value of .

b) At x = 2 the given function becomes.

c) f(x) is maximum when at x = and at this point f(x) = 1.

So, the point ( , 1) is on the graph of f.

d) f is defined for all values that are the domain of f is all real numbers.

e) Substitute f(x) = 0 in the given function.

By simplifying the above equation, the value of x is zero.

So, the x-intercept is at the origin (0,0).

f) The y-intercept is also at origin (0,0).

For more information, refer to the link given below:

link

8 2/3 is the answer

step-by-step explanation: just use a calculator

practice. practice. practice.