Answer:
!. Scale factor = 5
2. Scale factor =
Step-by-step explanation:
scale =
1. To increase the numbers, let the scale factor be = 5. So that;
0.05 x 5 = 0.25
x 5 = 0.5 x 5 = 2.50
7 x 5 = 35.00
13 x 5 = 65.00
25 x 5 = 125.00
102 x 5 = 510.00
2. To decrease the numbers, let the scale factor be . So that;
0.05 x = 0.01
x
= 0.5 x
= 0.10
7 x = 1.40
13 x = 2.60
25 x = 5.00
102 x = 20.40
Function transformation involves changing the form of a function
The function g(x) is
The function is given as:
g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:
At point (-2,2), we have:
At point (-1,4), we have:
Divide both equations
Simplify
Apply law of indices
Rewrite as:
Substitute 2 for b in
This gives
Multiply both sides by 4
Substitute 8 for (a) and 2 for (b) in
Express as a function
Hence, the function g(x) is
Read more about exponential functions at: