Graph the function f(x)=1x

Question

. Which of the following points with the x-coordinate of −211
is located on the graph?(1 point)
Responses

(−211,−112)
left parenthesis negative Start Fraction 2 over 11 End Fraction comma negative Start Fraction 11 over 2 End Fraction right parenthesis

(−211,211)
left parenthesis negative Start Fraction 2 over 11 End Fraction comma Start Fraction 2 over 11 End Fraction right parenthesis

(−112,−211)
left parenthesis negative Start Fraction 11 over 2 End Fraction comma negative Start Fraction 2 over 11 End Fraction right parenthesis

(−211,112)

Answer 1

To determine which point with an x-coordinate of \( -211 \) is on the graph of the function \( f(x) = x \), we need to evaluate \( f(-211) \).

Given the function \( f(x) = x \), for \( x = -211 \):

\[ f(-211) = -211 \]

Now we need to check which of the given points has the y-coordinate equal to \( -211 \):

1. \( (-211, -112) \) → The y-coordinate is \( -112 \).
2. \( \left(-\frac{2}{11}, -\frac{11}{2}\right) \) → The y-coordinate is \( -\frac{11}{2} \) (which is not \( -211 \)).
3. \( (-112, -211) \) → The x-coordinate is \( -112 \), not \( -211 \).
4. \( (-211, 112) \) → The y-coordinate is \( 112 \).

None of the provided points have \( -211 \) as their y-coordinate when the x-coordinate is \( -211\).

Thus, none of the points listed locate on the graph of the function \( f(x) = x \) at \( x = -211 \).