<u>Answer:</u>
f(x) = (2x + 1)(2x − 1)
Explanation:
As we can see from the above function f(x) = 4 − 1, we need to find x-intercept, i.e., the value of x where this function's value is zero.
So let us Equate the function with zero
4 - 1 = 0 => 4
= 1 =>
= 1/4 => x =
Hence we get 2 values of x, i.e., +1/2, and -1/2.
So now we need to check out the functions which are zero at this values of x, so let us substitute values of x in each and every option and see the values of functions.
Option A - f(x) = (4x + 1)(4x − 1) = 3, -3
Option B - f(x) = (2x + 1)(2x − 1) = 0
Option C - f(x) = 4(x2 + 1) = 5
Option D - f(x) = 2(x2 − 1) = -3/2
Hence answer is Option B
The true option about the solution to the system of inequalities shown is B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).
<h3>How to explain the inequality?</h3>Plot these ordered pairs on a coordinate plane and connect them by straight lines.
The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.
From the below graph it is clear that all values are satisfied.
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