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We have the function: f ( x ) = ( x + 6 ) ( x + 6 ) = ( x + 6 )^2. This is the square of the binomial. It has only one zero ( only one x- intercept ). When f ( x ) = 0, ( x + 6 )^2 = 0. x + 6 = 0; x = - 6. Therefore point ( - 6 , 0 ) is the only x - intercept. Answer: D ) f ( x ) = ( x + 6 ) ( x + 6 ).
abidemiokin

The x-intercept is the point where the output of the function  is zero.

The function that has only one intercept is f(x) = (x+6) (x+6)

Intercept of a function

The x-intercept is the point where the output of the function  is zero.

We need to find the equation that has only one x-intercept at (−6, 0)

For the function f(x) = (x+6) (x+6)

If f(x) = 0, then;

0 = x+6

x = -6

Hence the function that has only one intercept is f(x) = (x+6) (x+6)

Learn more on intercept here; https://brainly.com/question/26233

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