Graph Quest: Reciprocal Run

Froggy Jumps

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Mission through reciprocal graphs

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Mahmoud Abdallah

Emiratos Árabes Unidos

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Graph Quest: Reciprocal Run


Froggy Jumps Graph Quest: Reciprocal RunVersión en línea Mission through reciprocal graphs por Mahmoud Abdallah 1 Level 1: What is the vertical asymptote of y = 1/x? a x = 0 b y = 0 c x = 1 2 Level 2: Which quadrants contain the graph of y = 1/x? a I & II b I & III c II & IV 3 Level 3: Shape of the graph of y = 1/x? a Hyperbola b Line c Parabola 4 Level 4: Vertical asymptote of f(x) = 1/(x-4)? a x = 4 b x = 0 c y = 4 5 Level 5: Horizontal asymptote of f(x) = 1/(x-4)? a y = 4 b y = 0 c x = 4 6 Level 6: Domain restriction for f(x) = 1/x? a x ≠ 0 b x ≠ 6 c x ≠ -6 7 Level 7: Graph of y = 1/x lies in which quadrants? a II & IV b I & III c I only 8 Level 8: Shift of f(x) = 1/(x-2)? a Up b Right c Left 9 Level 9: As x approaches the vertical asymptote, the graph: a Graph crosses b Graph approaches only c Graph touches 10 Boss Level: Vertical asymptote of f(x) = 1/(x+2)? a x = -2 b x = 2 c y = -4 11 1. For y = 1/x, which is the vertical asymptote? a y = 0 b x = 1 c x = 0 12 2. The domain of y = 1/(x - 3) is: a x > 3 b x ≤ 3 c x ≠ 3 13 3. The horizontal asymptote of y = 1/x is: a y = 1 b x = 0 c y = 0 14 4. For x > 0, the graph of y = 1/x lies in which quadrant? a Quadrant I b Quadrant III c Quadrant II 15 5. The function y = -1/(x + 2) represents which transformations? a Reflection about the x-axis and shift left 2 b Translation up by 2 and reflection about x-axis c Reflection about the y-axis and shift right 2 16 6. As x approaches -2 from the right, y for y = 1/(x + 2) tends to: a +∞ b 0 c -∞ 17 7. A real-life model: if y is inversely proportional to x, which is true? a y ∝ x^2 b y ∝ x c y ∝ 1/x 18 8. For y = 1/(x^2 - 1), the domain excludes which x-values? a x ≠ ±2 b x ≠ 0 c x ≠ ±1 19 9. The graph of y = 1/(x - 4) is a shifted version of y = 1/x by: a Shift left by 4 units; up 1 unit b Shift right by 4 units; up 3 units c Shift right by 4 units; up 0 units 20 10. For y = (2x + 1)/(x^2 - 1), the vertical asymptotes are at: a x = ±2 b x = ±1 c x = 0

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Graph Quest: Reciprocal Run

Froggy Jumps

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OPEN UP 6 UNIT 1 VOCABULARY

Froggy Jumps

Graph Quest: Reciprocal RunVersión en línea

por Mahmoud Abdallah

Level 1: What is the vertical asymptote of y = 1/x?

Level 2: Which quadrants contain the graph of y = 1/x?

Level 3: Shape of the graph of y = 1/x?

Level 4: Vertical asymptote of f(x) = 1/(x-4)?

Level 5: Horizontal asymptote of f(x) = 1/(x-4)?

Level 6: Domain restriction for f(x) = 1/x?

Level 7: Graph of y = 1/x lies in which quadrants?

Level 8: Shift of f(x) = 1/(x-2)?

Level 9: As x approaches the vertical asymptote, the graph:

Boss Level: Vertical asymptote of f(x) = 1/(x+2)?

1. For y = 1/x, which is the vertical asymptote?

2. The domain of y = 1/(x - 3) is:

3. The horizontal asymptote of y = 1/x is:

4. For x > 0, the graph of y = 1/x lies in which quadrant?

5. The function y = -1/(x + 2) represents which transformations?

6. As x approaches -2 from the right, y for y = 1/(x + 2) tends to:

7. A real-life model: if y is inversely proportional to x, which is true?

8. For y = 1/(x^2 - 1), the domain excludes which x-values?

9. The graph of y = 1/(x - 4) is a shifted version of y = 1/x by:

10. For y = (2x + 1)/(x^2 - 1), the vertical asymptotes are at: