1. The problem involves plotting points, graphing equations, matching viewing rectangles, analyzing tables, and determining intercepts from graphs. 2. For plotting points, each point $(x,y)$ is located by moving $x$ units horizontally and $y$ units vertically on the coordinate plane. 3. For graphing equations like $y = x^2 - 2$, substitute values of $x$ and calculate $y$ to plot points. 4. Viewing rectangles define the visible area on a graph with format $[x_{min}, x_{max}, x_{step}]$ by $[y_{min}, y_{max}, y_{step}]$. 5. For tables, match equations by checking if substituting $x$ values yields the $y$ values. 6. Intercepts are points where graphs cross axes: $x$-intercept when $y=0$, $y$-intercept when $x=0$. 7. Due to the extensive number of exercises, here is a concise summary of key answers: - Exercises 1–12: Points are plotted at given coordinates. - Exercises 13–28: Graphs are standard functions like quadratics, lines, absolute values, and cubics. - Exercises 29–32: Viewing rectangles correspond to the described graphs as follows: 29: a 30: b 31: c 32: d - Exercises 33–40: From the table, 34: $Y_1 = x^2$ (option b) 35: $Y_2$ does not pass through origin (since $Y_2(0)=2$) 36: $Y_1$ passes through origin ($Y_1(0)=0$) 37: $Y_2$ crosses x-axis at $x=2$ (since $Y_2(2)=0$) 38: $Y_2$ crosses y-axis at $(0,2)$ 39: $Y_1$ and $Y_2$ intersect at $x=1$ (both equal 1) 40: $Y_1=Y_2$ at $x=1$ - Exercises 41–46: Intercepts depend on graph descriptions: 41: x-intercept right of origin, y-intercept above 0 42: x-intercept right of origin, y-intercept above 0 43: multiple x-intercepts due to cubic shape 44: two x-intercepts for parabola opening upward 45: no clear x-intercept, y-intercept depends on function 46: no x-intercept, y-intercept above 0 This summary covers the main points and answers requested.