L17 · Compare representations of functions

1. 1.

   f(x) = 3x and g(x) = 4x. Which function has the greater rate of change?

   Answer. g

   Rate of change is the slope: 4 > 3.

2. 2.

   f(x) = 3x and g(x) = 5x. Which function has the greater rate of change?

   Answer. g

   Rate of change is the slope: 5 > 3.

3. 3.

   f(x) = 4x and g(x) = 5x. Which function has the greater rate of change?

   Answer. g

   Rate of change is the slope: 5 > 4.

4. 4.

   f(x) = 5x and g(x) = 9x. Which function has the greater rate of change?

   Answer. g

   Rate of change is the slope: 9 > 5.

5. 5.

   f(x) = 2x and g(x) = 4x. Which function has the greater rate of change? Write a complete answer — Nora will compare with a partner.

   Answer. g

   Rate of change is the slope: 4 > 2.

6. 6.

   f(x) = 5x and g(x) = 8x. Which function has the greater rate of change? Write a complete answer — Malik will compare with a partner.

   Answer. g

   Rate of change is the slope: 8 > 5.

7. 7.

   f(x) = 2x and g(x) = 5x. Which function has the greater rate of change? Write a complete answer — Nora will compare with a partner.

   Answer. g

   Rate of change is the slope: 5 > 2.

8. 8.

   f(x) = 4x and g(x) = 8x. Which function has the greater rate of change? Write a complete answer — Ava will compare with a partner.

   Answer. g

   Rate of change is the slope: 8 > 4.

9. 9.

   f(x) = 4x and g(x) = 8x. Which function has the greater rate of change? Write a complete answer — Jonah will compare with a partner.

   Answer. g

   Rate of change is the slope: 8 > 4.

10. 10.

    f(x) = 5x and g(x) = 6x. Which function has the greater rate of change? Write a complete answer — Ava will compare with a partner.

    Answer. g

    Rate of change is the slope: 6 > 5.

11. 11.

    Think

    Sam tried this problem:
    f(x) = 3x and g(x) = 6x. Which function has the greater rate of change?
    Sam wrote g (check this). That is not correct. What is the right answer?

    Answer. g

    Sam’s answer g (check this) is off. Rate of change is the slope: 6 > 3.

12. 12.

    Think

    Nora tried this problem:
    f(x) = 3x and g(x) = 4x. Which function has the greater rate of change?
    Nora wrote g (check this). That is not correct. What is the right answer?

    Answer. g

    Nora’s answer g (check this) is off. Rate of change is the slope: 4 > 3.

Original extra practice. Keys are computed from the items, not guessed.