- #1
Ackbach
Gold Member
MHB
- 4,155
- 89
So, I'm typing away as follows:
This does not seem to compile correctly on Mathjax, but it compiles in my $\LaTeX$ environment. My problem is this: I want Problem 38's text to begin aligned with the y_{1} of the previous line and on the same line as the number 38, but I don't want the preceding align environment to push everything over to the right, just because I now have a huge amount of text to format. I like the intertext command for inserting text into an align environment. What I essentially need now is a way to "ignore" alignment for the rest of one line, after I've done one or two ampersands for the first alignments. Is there a way to do that?
Code:
\begin{align*}
1.\quad &y=\sqrt{x+2}\qquad\qquad\qquad &6.\quad &x=3\\
2.\quad &x^{2}+y^{2}=16 &7.\quad &(1,2);\;(1,4);\;(2,7)\\
3.\quad &y=x^{2}+3x+4 &8.\quad &(1,2);\;(2,4);\;(3,6)\\
4.\quad &y^{2}=x-3 &9.\quad &y=4\\
5.\quad &0\le x\le 1 &10.\quad &y=\frac{1}{x}\\
&0\le y\le 1 & &\\
\intertext{Determine the natural domain of the following functions.}
11.\quad &y=x^{2}+3x-2 \qquad\qquad\qquad &16.\quad &y=\frac{1}{x+4}\\
12.\quad &y=\sqrt[3]{x+4} &17.\quad &y=\sqrt{\frac{1}{x-6}}\\
13.\quad &y=\sqrt{x+2} &18.\quad &y=\sqrt[3]{\frac{5}{x-3}}\\
14.\quad &y=\sqrt{x^{2}-4} &19.\quad &y=\frac{x(x-1)}{x^{2}-3x+2}\\
15.\quad &y=\sqrt{x^{2}-3x+2} &20.\quad &y=\sqrt{\frac{x}{x^{2}-6x+5}}\\
\intertext{Determine the range of the following functions.}
21.\quad &y=x+6 \qquad\qquad\qquad &26.\quad &y=x^{2}-13x+12\\
22.\quad &y=\sqrt{x+4} &27.\quad &y=\frac{x(x-1)}{x-1}\\
23.\quad &y=x^{2}+6 &28.\quad &y=x^{3}\\
24.\quad &y=x^{3}-7 &29.\quad &y=-x^{2}+4x-3\\
25.\quad &y=\frac{1}{x-2} &30.\quad &y=\frac{x-2}{x^{2}-3x+2}\\
\intertext{Determine which of the following sets of functions are equal. If the functions
are not equal, state why.}
31.\quad &y_{1}=x+1 \qquad\qquad\qquad\qquad\qquad &34.\quad &y_{1}=x+1\\
\phantom{31.} &y_{2}=x+3 & &y_{2}=x+1\\
32.\quad &y_{1}=x(x+1) &35.\quad &y_{1}=\begin{cases}\frac{x^{2}+3x}{x+3}
\quad&\text{for }x\not=-3\\ -3\quad&\text{for }x=-3\end{cases}\\
&y_{2}=\frac{(x^{2}+x)(x+2)}{x+2} & &y_{2}=x\\
33.\quad &y_{1}=x+1 &36.\quad &y_{1}=\frac{x^{3}(x+1)}{x^{2}+3x+2}\\
&y_{2}=\begin{cases}\frac{x(x+1)}{x+1}\quad&\text{for }x\not=-1\\
0\quad&\text{for }x=-1\end{cases} & &y_{2}=\frac{x^{3}+x^{2}}{x^{3}+3x^{2}+2x}
\intertext{Solve the following problems:}
37.\quad &y_{1}=\frac{x^{2}(x-1)(x+2)}{x^{3}+x^{2}-2x}\\
&y_{2}=\frac{x(x+3)}{x+3}\\
\intertext{Determine how $y_{1}$ and $y_{2}$ can be changed to be equal in a manner that
will allow their respective domains to include all real numbers. Be sure not to
change the rules of association over the {\it natural} domains.}
38.\quad & & &\\
\intertext{Determine how to make the following functions equal by restricting the
domains. Be sure not to restrict the domains any more than absolutely
necessary.}
&y_{1}=\sqrt{\frac{x+1}{x-3}}\\
&y_{2}=\sqrt{\frac{x^{2}+2x+1}{x^{2}-2x-3}}.
\end{align*}This does not seem to compile correctly on Mathjax, but it compiles in my $\LaTeX$ environment. My problem is this: I want Problem 38's text to begin aligned with the y_{1} of the previous line and on the same line as the number 38, but I don't want the preceding align environment to push everything over to the right, just because I now have a huge amount of text to format. I like the intertext command for inserting text into an align environment. What I essentially need now is a way to "ignore" alignment for the rest of one line, after I've done one or two ampersands for the first alignments. Is there a way to do that?