The function $${f}$$ is defined over the real numbers. This table gives several values of $${f}$$.

![](http://admin.getprephub.com/media/editor/l18_20220921225902676466.png)
Is the table appropriate for approximating $$\lim _{x \to-3} f({x})$$ ? If not, why?



<div id="displayOption0" class="markdown-body editormd-html-preview"><textarea>The table is not appropriate. The $$x$$-values only approach - 3 from one dircction.
</textarea>The table is not appropriate. The <math><semantics><mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">x</annotation></semantics></math>x-values only approach - 3 from one dircction.
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<div id="displayOption1" class="markdown-body editormd-html-preview"><textarea>The table is appropriate</textarea>The table is appropriate
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<div id="displayOption2" class="markdown-body editormd-html-preview"><textarea>The table is not appropriate. The increment in $$x$$-values are constant.</textarea>The table is not appropriate. The increment in <math><semantics><mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">x</annotation></semantics></math>x-values are constant.
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<div id="displayOption3" class="markdown-body editormd-html-preview"><textarea>None of the above.

</textarea>None of the above.
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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">The function $${f}$$ is defined over the real numbers. This table gives several values of $${f}$$.

![](http://admin.getprephub.com/media/editor/l18_20220921225902676466.png)
Is the table appropriate for approximating $$\lim _{x \to-3} f({x})$$ ? If not, why?

</textarea>The function <math><semantics><mrow wfd-invisible="true"><mrow><mi>f</mi></mrow></mrow><annotation encoding="application/x-tex">{f}</annotation></semantics></math>f is defined over the real numbers. This table gives several values of <math><semantics><mrow wfd-invisible="true"><mrow><mi>f</mi></mrow></mrow><annotation encoding="application/x-tex">{f}</annotation></semantics></math>f.
<img src="http://admin.getprephub.com/media/editor/l18_20220921225902676466.png" alt=""> Is the table appropriate for approximating <math><semantics><mrow wfd-invisible="true"><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mo>−</mo><mn>3</mn></mrow></msub><mi>f</mi><mo>(</mo><mrow><mi>x</mi></mrow><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x \to-3} f({x})</annotation></semantics></math>lim​x→−3​​f(x) ? If not, why?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">The table in not appropriate. The $$x$$-values only approach $$-3$$ from one diredion.

The value when $$x\to -3^{+}$$is not given in the table.



</textarea>The table in not appropriate. The <math><semantics><mrow wfd-invisible="true"><mi>x</mi></mrow><annotation encoding="application/x-tex">x</annotation></semantics></math>x-values only approach <math><semantics><mrow wfd-invisible="true"><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">-3</annotation></semantics></math>−3 from one diredion.
The value when <math><semantics><mrow wfd-invisible="true"><mi>x</mi><mo>→</mo><mo>−</mo><msup><mn>3</mn><mrow><mo>+</mo></mrow></msup></mrow><annotation encoding="application/x-tex">x\to -3^{+}</annotation></semantics></math>x→−3​+​​is not given in the table.
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