Question

Use the table to answer the question.

Sequences of Two Functions
Term Number 1 2 …
…
11 12 …
…
16 17
Sequence for

h(x)=1.2x
ℎ
(
𝑥
)
=
1.2
𝑥

1.2 2.4 …
…
13.2 14.4 …
…
19.2 20.4
Sequence for

j(x)=1.2x
𝑗
(
𝑥
)
=
1.2
𝑥
1.2 1.4 …
…
7.4 8.9 …
…
18.5 22.2
Which statement correctly compares the two functions?(1 point)
Responses

The values of j(x)
𝑗
(
𝑥
)
are always less than the values of h(x)
ℎ
(
𝑥
)
.
The values of j of x are always less than the values of h of x .

Answer 1

Which statement correctly compares the two functions?(1 point)
Responses

The values of j(x)
𝑗
(
𝑥
)
are always less than the values of h(x)
ℎ
(
𝑥
)
.
The values of j of x are always less than the values of h of x .

By term 12, j(x)
𝑗
(
𝑥
)
is greater than h(x)
ℎ
(
𝑥
)
.
By term 12, j of x is greater than h of x .

The growth rate of h(x)
ℎ
(
𝑥
)
is always less than the growth rate of j(x)
𝑗
(
𝑥
)
.
The growth rate of h of x is always less than the growth rate of j of x .

The average growth rate of j(x)
𝑗
(
𝑥
)
exceeds the growth rate of h(x)
ℎ
(
𝑥
)
between terms 11 and 12.

Answer 2

No. j(x) is not always less than h(x). For early terms j(x) ≤ h(x) (for example term 2: j=1.4 < h=2.4), but later terms j(x) becomes larger (for example term 17: j=22.2 > h=20.4).