Question

Kiran wrote f(x) = (x − 3)(x - 7) as an example of a function whose graph has x-
intercepts at x = -3, - 7. What was his mistake?

Answer 1

The x intercepts were supposed to be x = 3, 7

Answer 2

The x-intercept is 3 and 7. The answer is incorrect, the user shouldn't have negated the given values of x.

Given the expression f(x) = (x − 3)(x - 7)

The x-intercept of the line occurs at the point where f(x) = 0

Substitute f(x) = 0 into the expression as shsown:

f(x) = (x − 3)(x - 7)

0 = (x − 3)(x - 7)

x - 3 = 0 and x - 7 = 0

x = 3 and 7

Hence the x-intercept is 3 and 7. The answer is incorrect, the user shouldn't have negated the given values of x.

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