1. The problem asks to identify which quadratic functions have specific domain and range properties based on their graphs. 2. Recall that the domain of a function is the set of all possible input values (x-values), and the range is the set of all possible output values (y-values). 3. From the descriptions: - Graph E has x-range from -4 to 4, so domain is $[-4,4]$. - Graph A has x from 0 to 4, so domain is $[0,4]$. - Graph F has x from -4 to 3, so domain is $[-4,3]$. - Graph B has x from -4 to 8, so domain is $[-4,8]$. - Graph G has x from 0 to 6, so domain is $[0,6]$. - Graph C has x from -4 to 6, so domain is $[-4,6]$. - Graph H has x from ? (not specified, but likely all real numbers since no restriction mentioned). - Graph D has x from -4 to 4, so domain is $[-4,4]$. 4. Which has a domain of all real numbers? Quadratic functions typically have domain all real numbers unless restricted. From the given, none explicitly states all real numbers except possibly H (no restriction mentioned). So answer: H. 5. Which function has a domain of $x \leq 3$? Graph F has domain $[-4,3]$, which includes all $x \leq 3$ but also $x \geq -4$. So closest is F. 6. Which function has a range of $y \geq 3$? Graph B has y from 0 to 6, so range $[0,6]$; Graph E has y from 0 to 8; Graph H has vertex at 8 and opens downward, so max y=8, range $[0,8]$; Graph A has y from -4 to 4; Graph C from -4 to 4; Graph D from -4 to 4; Graph F from -4 to 4; Graph G from 0 to 4. None have range $y \geq 3$ exactly, but B has range $0 \leq y \leq 6$, so includes $y \geq 3$ but not only $y \geq 3$. E and H have range starting at 0, not 3. So none exactly match $y \geq 3$, but B is closest with upper range including 3. 7. Which function has a range of $0 \leq y \leq 6$? Graph B has y from 0 to 6, so B. 8. Which function has a domain of $-4 \leq x < 2$? From the x-ranges, C has $[-4,6]$, so includes $-4 \leq x < 2$; F has $[-4,3]$; E has $[-4,4]$; D has $[-4,4]$. But none exactly $-4 \leq x < 2$, but C includes that interval. 9. Which function has a range of $-3 \leq y < 3$? From y-ranges: - F: y from -4 to 4 - A: y from -4 to 4 - C: y from -4 to 4 - D: y from -4 to 4 - G: y from 0 to 4 - B: y from 0 to 6 - E: y from 0 to 8 - H: y from 0 to 8 None exactly $-3 \leq y < 3$, but A, C, D, F have ranges including -4 to 4, so they include $-3 \leq y < 3$ as a subset. Therefore, the answers are: - Domain all real numbers: H - Domain $x \leq 3$: F - Range $y \geq 3$: B (closest) - Range $0 \leq y \leq 6$: B - Domain $-4 \leq x < 2$: C - Range $-3 \leq y < 3$: A (or C, D, F; choose A) Final answers: - Domain all real numbers: H - Domain $x \leq 3$: F - Range $y \geq 3$: B - Range $0 \leq y \leq 6$: B - Domain $-4 \leq x < 2$: C - Range $-3 \leq y < 3$: A