# O POLYNOMIAL AND RATIONAL FUNCTIONSFinding the intercepts, asymptotes, domain, and range from the(a) Write the equations for all vertical and horizontalasymptotes. Enter the equations using the "and" button asnecessary. Select "None" as necessary.Vertical asymptote(s):Horizontal asymptote(s):(b) Find all x-intercepts and y-intercepts. Check all that apply.-41None2intercept(s):None01intercept(s):(c) Find the domain and range of f.Write each answer as an interval or union of intervals.-6Domain:Range:

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Finding the intercepts, asymptotes, domain and range of the attached problem help_outlineImage TranscriptioncloseO POLYNOMIAL AND RATIONAL FUNCTIONS Finding the intercepts, asymptotes, domain, and range from the (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): (b) Find all x-intercepts and y-intercepts. Check all that apply. -4 1 None 2 intercept(s): None 0 1 intercept(s): (c) Find the domain and range of f. Write each answer as an interval or union of intervals. -6 Domain: Range: fullscreen
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Step 1

(a) From the given figure, it is observed that the graph of the function is tends approaching to infinity at the points x = –4 and x = 2. This implies that x = –4 and x = 2 are vertical asymptote of the function that drawn in the given figure.

Also note that from the figure, as x approaching to infinity the graph of the function is tends to zero. This implies that y =0 is a horizontal asymptote.

That is,

Step 2

(b) note that given graph is crossing the x-axis at the point x = –1 and it in...

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