Chapter 11: Problem 68
Evaluate the function for \(x=0,1,2,3,\) and 4. $$f(x)=4 x$$
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When you add rational expressions, you may need to factor a trinomial to find the LCD. Study the sample below. Then simplify the expressions in Exercises 46–49. $$\text { Sample: } \frac{2 x}{x^{2}-1}+\frac{3}{x^{2}+x-2}=\frac{2 x}{(x+1)(x-1)}+\frac{3}{(x-1)(x+2)}$$ The LCD is \((x+1)(x-1)(x+2)\) Note: If you just used \(\left(x^{2}-1\right)\left(x^{2}+x-2\right)\) as the common denominator, the factor \((x-1)\) would be included twice. $$\frac{2}{x-3}+\frac{x}{x^{2}+3 x-18}$$
Evaluate the expression. $$2^{4} \cdot 2^{3}$$
Simplify the expression. $$\frac{11}{6 x}+\frac{2}{13 x}$$
Sketch the graph of the function. $$y=-3 x^{2}-x+7$$
Evaluate the function for \(x=0,1,2,3,\) and 4. $$f(x)=-x^{2}$$
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