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3 years ago

For the function F(x)=1/x+1, whose graph is shown below, what is the relative value of F(x) when the value of x is close to -1.

1 answer:

6 0

Well as x can never actually be -1 because I'm in the denominator -1 + 1 = 0 and we cannot divide by zero. But we can look at what number it approaches and i assume that is the relative value. sometimes functions will have asymptotes and others will have holes in the graph. this one would have an asymptote going down at a rapid rate. the asymptote would go on forever getting infinitely close to -1 but never touching. So I would say since the asymptote goes down forever that the graph approaches negative infinity

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Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the <em>same</em> domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and <em>increase</em> intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are <em>continuous</em>.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

<em>Given a polynomial function </em> $f(x) = 2\cdot x^{2}-3\cdot x + 5$ <em> and an exponential function </em> $g(x) = 2^{x}-5$ <em>. What key features do </em> $f(x)$ <em> and </em> $g(x)$ <em> have in common? </em>

<em />

<em>A.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same domain of </em> $(9, +\infty)$ <em>.</em>

<em>B.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same range of </em> $(-\infty, 0]$ <em>.</em>

<em>C.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> have the same x-intercept of </em> $(2,0)$ <em>.</em>

<em>D.</em><em> Both </em> $f(x)$ <em> and </em> $g(x)$ <em> increase over the interval of </em> $(-4, +\infty)$ <em>.</em>

<em />

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

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