kailangan ko talaga to plss patulongg╥﹏╥ with corresponding solution. ang mag bigay ng gagong sagot karmahin sana.
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kailangan ko talaga to plss patulongg╥﹏╥ with corresponding solution. ang mag bigay ng gagong sagot karmahin sana.
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Hints:
a) To determine the x-intercept, the value of f(x) is 0. In other words, the x-intercepts (also known as zeros or roots) of a function are points where the graph intersects the x-axis. Whereas, to determine the y-intercept, the value of x is 0, and points intersect the y-axis on the graph.
b) Zeroes are also known as x-intercepts, solutions or roots of functions. They are the values of x where the height of the function is zero. To find the zeroes of a rational function, set the numerator equal to zero and solve for the values of x.
c) Asymptote is a straight line that can be horizontal or vertical that goes closer and closer to a curve which is the graphic of a given function. These asymptotes usually appear if there are points where the function is not defined.
To identify vertical asymptotes, find the zeros of the denominator. Check for horizontal asymptotes by comparing degree of top and bottom. For more info, check on the images below.
Solutions:
1)
a) x-intercept where f(x)=0:
y-intercept where x=0:
b) By equating zero in the numerator:
c) Checking for vertical asymptote by equating zero in the denominator:
Since each degree of nominator and denominator is 1 (where n = m), we can find the horizontal asymptote (y = a/b):
2)
a) x-intercept where f(x)=0:
Using the quadratic formula:
Notice that the number in the square root is negative. Thus, the values of x are complex numbers, meaning no real numbers.
We conclude that there is no x-intercept.
y-intercept where x=0:
b)
By equating zero in the numerator:
Same from x-intercept, the roots are complex numbers.
Thus, there are no zeros.
c) Checking for vertical asymptote by equating zero in the denominator:
Since the degree of nominator is greater than the degree of denominator, as in n > m, that is 2 > 1, there is no horizontal asymptote.