Answer:
it is option a
Step-by-step explanation:
. f(x) = (4x + 1)(4x − 1) is the correct answer overall you have the check it and just make sure you fully to your capability of those steps
The equivalent function that best shows the x-intercepts on the graph is f(x)=(4x-1)(4x+1).
A function assigns the value of each element of one set to the other specific element of another set.
As the function is given to us that f(x)=16x²-1, therefore, the equivalent function that best shows the x-intercepts on the graph can be written as,
[tex]f(x)= 16x^2-1\\\\f(x)=16x^2-1^2\\\\f(x)=(4x-1)(4x+1)[/tex]
If we solve the roots of the given function,
(4x-1)=0
x = 1/4 = 0.25
(4x+1)=0
x = -1/4 = -0.25
Thus, the x-intercept of the function is 0.25 or -0.25.
Thus, the equivalent function that best shows the x-intercepts on the graph is f(x)=(4x-1)(4x+1).
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