2 questions in Pre-Calculus For each description, construct a rational function that matches the statedcharacteristics. Graph each function by hand or on Desmos, and label asymptotes,x-intercepts, and hole. Also, justify your steps for the vertical asymptote behavior(see third bullet) and hole coordinates (see fifth bullet).1)%3B• Vertical asymptotes at x = -1 and x =• x-intercepts: (-2, 0), (6, 0);• As x → -1¯, y → ∞ (also show that for an input x immediately to theleft of -1, we do get a big positive output)• As x → 0, y → 0 and as x → -0, y → 0Hole at (3, -15) [justify that your function yields this hole] 2) |2;• Vertical asymptotes at x = -4 and x =• x-intercepts: (1, 0), (-7, 0)As x → 2-, y → -∞ (also show that for an input x immediately to theleft of 2, we do get a big negative output)3-- and as x — 0о, у — —23• As x → ∞, y →2225.• Hole at (-2, ) (justify that your function yields this hole]64

Name: 2 questions in Pre-Calculus For each description, construct a rational
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Description: 2 questions in Pre-Calculus For each description, construct a rational function that matches the statedcharacteristics. Graph each function by hand or on Desmos, and label asymptotes,x-intercepts, and hole. Also, justify your steps for the vertical a

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Calculus

For each description, construct a rational function that matches the stated characteristics. Graph each function by hand or on Desmos, and label asymptotes, x-intercepts, and hole. Also, justify your steps for the vertical asymptote behavior (see third bullet) and hole coordinates (see fifth bullet). 1) • Vertical asymptotes at x = k-intercepts: (-2, 0), (6, 0); • As x → -1-,y→∞ (also show that for an input x immediately to the left of -1, we do get a big positive output) • As x → 0, y → 0 and as x → -00, y → 0 • Hole at (3, -15) [justify that your function yields this hole] -1 and x = 5;