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Answer:

9. The range of the function $f(x)=\frac {4x^{2}-3x+4}{2x^{2}-8}$ is all real numbers except $-2$.

To find the range, we need to determine the values of x for which the function is undefined. In this case, the function is undefined when the denominator is equal to zero, i.e., $2x^{2}-8=0$. Solving this equation, we get $x=\pm2$. Since the function is undefined when $x=-2$, the range of the function is all real numbers except $-2$.

10. The range of the function $f(x)=\frac {3x+4}{2x^{2}-8}$ is all real numbers except $x=2$.

To find the range, we need to determine the values of x for which the function is undefined. In this case, the function is undefined when the denominator is equal to zero, i.e., $2x^{2}-8=0$. Solving this equation, we get $x=\pm2$. Since the function is undefined when $x=2$, the range of the function is all real numbers except $x=2$.

Test $II.$ Fill out the missing values in the table using the given rational function below.

$f(x)=\frac {2}{x+1}$

x 0 1 2 3 4

$f(x)$. 2/2 = 1 2. 2/3 = 2/3 3. 2/4 = 1/2 4. 2/5 = 2/5 5. 2/6 = 1/3

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