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Find all the asymptotes and plot the graph of the given function.$$f(x)=\frac{4 x^{2}-12 x+5}{2 x+5}$$

Vertical asymptote: $x=-\frac52$. Slant asymptote: $y=2x-11$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

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Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

00:52

Sketch the graph of the fu…

00:55

Determine the vertical asy…

02:00

find all vertical and hori…

01:01

Find the vertical and hori…

01:25

01:03

to find the vertical. Azman told. We need the numerator to be nine year old in the denominator to be zero, and hence this gives us X echoes minus five half. We assume the stand as motivated to be a X plus B where a and B coefficient we need to determine according to the instruction. Well, let l equals F minus cube. With simple calculus, we can get this expression we need. L goes to zero as X goes to infinity In this way, F x goes to Q X as X goes to infinity, which satisfies the definition of asthma toads. For this condition to be satisfied, we need the coefficient of X squared and the coefficient of X to be zero. This gives us this doing a quick rinse and solve these three questions. We have a equals two and B equals minus 11. Therefore, this net asthma coat of this function is y equals two x minus 11. This is a graph of the malfunction and these two right dotted nine vertical Essen told in the snow and asthma, told

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