Question

Х 8 () The table shows the function g (x). Select from the drop-down menu to correctly compare g(x) and f(x) = 2(4"). -1 -2 = 0 0 1 2 The y-intercept of f (x) is Choose... the y-intercept of 8 (x).

Answer 1

Given a table for x and the corresponding value of g(x), and the function of f(x)

To Determine: The comparison of the y-intercept of g(x) and f(x)

Solution:

Note that at y-intercept, x is equal to zero

It can be observed that from the table, when x= 0, g(x) = 0

When x =0, f(x) would be

$\begin{gathered} f(x)=2(4^x) \\ f(0)=2(4^0) \\ f(0)=2(1) \\ f(0)=2 \end{gathered}$

It can be observed that

g(0) = 0

f(0) = 2

Since 2 is greater than 0, it can be concluded that the y-intercept of f(x) is greater than the y-intercept of f(x)