The function $${f}$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x \to 7} f(x)$$ ?

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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">The function $${f}$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x \to 7} f(x)$$ ?

![](http://admin.getprephub.com/media/editor/l6_20220921223857717300.png)</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 for all real numbers. What is a reasonable estimate for <math><semantics><mrow wfd-invisible="true"><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>7</mn></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x \to 7} f(x)</annotation></semantics></math>lim​x→7​​f(x) ?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">From the graph

When $$x \to 7$$, $$f(x)$$ approaches $$-6.5$$


</textarea>From the graph
When <math><semantics><mrow wfd-invisible="true"><mi>x</mi><mo>→</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">x \to 7</annotation></semantics></math>x→7, <math><semantics><mrow wfd-invisible="true"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">f(x)</annotation></semantics></math>f(x) approaches <math><semantics><mrow wfd-invisible="true"><mo>−</mo><mn>6</mn><mi mathvariant="normal">.</mi><mn>5</mn></mrow><annotation encoding="application/x-tex">-6.5</annotation></semantics></math>−6.5
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