## vera_ewing one year ago Math question

1. vera_ewing

@welshfella It's B right?

2. Michele_Laino

here, we have to evaluate the subsequent ratio: $\frac{{L\left( 4 \right) - L\left( 0 \right)}}{{4 - 0}}$ for each of yours function, namely when L stands for: f(x), g(x) and h(x)

3. Michele_Laino

for example, if we consider the function f(x), then the above ratio is: $\frac{{f\left( 4 \right) - f\left( 0 \right)}}{{4 - 0}} = \frac{{64 - 0}}{{4 - 0}} = ...?$ please complete

4. vera_ewing

64/4=16

5. Michele_Laino

ok!

6. Michele_Laino

please wait, we have to evaluate the same ratio for function h(x) and g(x)

7. Michele_Laino

now if we consider the function g(x), we get: $\frac{{g\left( 4 \right) - g\left( 0 \right)}}{{4 - 0}} = \frac{{ - 3 - 1}}{{4 - 0}} = ...?$

8. vera_ewing

-4/4 = -1

9. Michele_Laino

ok! Now we have to consider the function h(x)

10. Michele_Laino

so we can write: $\frac{{h\left( 4 \right) - h\left( 0 \right)}}{{4 - 0}} = \frac{{\left\{ {{{\left( {4 + 4} \right)}^2} + 2} \right\} - \left\{ {{{\left( {0 + 4} \right)}^2} + 2} \right\}}}{{4 - 0}} = ...?$

11. Michele_Laino

66-18=48

12. vera_ewing

48/4 = 12

13. Michele_Laino

ok!

14. Michele_Laino

so reassuming we have: function rate f(x) 16 g(x) -1 h(x) 12 what can you conclude?

15. vera_ewing

The order from least to greatest is g(x), h(x), f(x)

16. Michele_Laino

yes! correct!

17. vera_ewing

Thank you Michele :)

18. Michele_Laino

:)