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Chapter 2: Problem 21
Find the domain of each function. $$g(x)=\sqrt{5 x+35}$$
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determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed $$ f(x)=\left\\{\begin{array}{lll} 2 & \text { if } & x \neq 4 \\ 3 & \text { if } & x=4 \end{array}\right. $$ and one piece of my graph is a single point.
Simplify: \(2(x+h)^{2}+3(x+h)+5-\left(2 x^{2}+3 x+5\right)\)
If you are given a function's equation, how do you determine if the function is even, odd, or neither?
Exercises \(129-131\) will help you prepare for the material covered in the next section. Use point plotting to graph \(f(x)=x+2\) if \(x \leq 1\)
graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. $$ \begin{aligned} (x-2)^{2}+(y+3)^{2} &=4 \\ y &=x-3 \end{aligned} $$
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