OpenRevise

Flashcards · Maths · Graphs

Cubic, Reciprocal and Other Graphs

16 cards

  1. What shape is a linear graph?

    A straight line.

  2. What shape is a quadratic graph?

    A U shape or an upside-down U.

  3. What shape is a cubic graph?

    An S shape.

  4. What shape is the graph of \(y = \dfrac{1}{x}\)?

    Two separate curved branches that never touch the axes.

  5. What is the value of \(x^3\) when \(x = -2\)?

    \(-8\).

  6. What are the values of \(y = x^3\) for \(x = -1, 0, 1\)?

    \(-1, 0, 1\).

  7. What is \(\dfrac{1}{x}\) when \(x = 4\)?

    \(\dfrac{1}{4}\).

  8. Why does \(y = \dfrac{1}{x}\) have a gap at \(x = 0\)?

    You cannot divide by zero.

  9. Where does \(y = 2^x\) cross the y-axis?

    At \((0, 1)\).

  10. What is \(2^3\)?

    8.

  11. What does \(2^{-1}\) equal?

    \(\dfrac{1}{2}\).

  12. What is the highest power in a cubic equation?

    \(x^3\).

  13. What is the equation of a circle with centre the origin and radius 5 (Higher tier)?

    \(x^2 + y^2 = 25\).

  14. Is \((3, 4)\) on the circle \(x^2 + y^2 = 25\) (Higher tier)?

    Yes, because \(9 + 16 = 25\).

  15. How can you quickly test which equation matches a graph?

    Substitute an \(x\)-value and compare the \(y\)-value with the graph.

  16. What happens to an exponential graph for large \(x\)?

    It increases faster and faster.