Question

O NONLINEAR FUNCTIONSComparing linear, polynomial, and exponential functionsCompare the functions f(x) = 2* and g(x) = 150x by completing parts (a) and (b).(a) Fill in the table below. Note that the table is already filled in for x=5.(The ALEKS calculator can be used to make computations easier.)f(x)=2x74°FCloudyX56101112Explanation3211g(x)=150x(b) For x ≥ 6, the table suggests that f(x) is (Choose one)(Choose one)alwayssometimesCheck750011neverless than g(x).I need help with this math problem.

Answer 1

ANSWERS

(a) Table:

(b) For x ≥ 6, the table suggests that f(x) is sometimes less than g(x).

Step-by-step explanation

(a) To fill in this table, we have to substitute x with each value in the first column and solve,

`f(6)=2^6=64`
`g(6)=150\cdot6=900`

Repeat this for all values of x and we have the table,

(b) Let's analyze the values obtained in the table:

• For x = 6, f(x) is ,less, than g(x).

,

• For x = 10, f(x) is ,less, than g(x).

,

• For x = 11, f(x) is greater than g(x).

,

• For x = 12, f(x) is greater than g(x).

Hence, the table suggests that for x ≥ 6, f(x) is sometimes less than g(x).