Question

The exponential function g, represented in the table, can be written as g(x) = a.b.

2
O
1
g(2)
12
9
REFRESH
THE
Complete the equation for g(x).
g(x) =
Stuck? Watch a video or use a hint

Answer 1

g(x) = 12 . (3/4)ˣ

Step-by-step explanation:

I looked at hints, so there you go. lol

Answer 2

• g(x) = 12 . (3/4)ˣ

Step-by-step explanation:

Since the function and the table are garbled, I will explain you how to deal with this kind of questions with the function g(x) = a.bˣ, and the table:

===========

x g(x)

===========

0 12

1 9

===========

To complete the equation g(x) you must find a and b.

To find a, you can use the initial pair (0, 12), x = 0, g(0) = 12.

• 12 = a . (b)⁰
• 12 = a . (1)
• 12 = a

Thus, the function is g(x) = 12 . (b)ˣ

Use the second pair (1, 9):

• 9 = 12 . (b)¹
• 9 = 12 . b
• b = 9/12
• b = 3/4

Hence, the function g(x) is:

• g(x) = 12 . (3/4)ˣ

You might, for instance, find g(2):

• g(2) = 12 . (3/4)² = 12 . 3²/4² = 12. 9/4² = 3 . 9 / 4 = 27/4