Question
The table contains values for f(x)
. If h(x)
is the reflection of f(x)
across the x-axis, find the missing value in the ordered pair below, for h(x)
.
x
−π2
−π4
0 π4
π2
f(x)
0 −1
0 1 0(1 point)
(π4
,
)
. If h(x)
is the reflection of f(x)
across the x-axis, find the missing value in the ordered pair below, for h(x)
.
x
−π2
−π4
0 π4
π2
f(x)
0 −1
0 1 0(1 point)
(π4
,
)
Answers
GPT 3.5
The missing value in the ordered pair is -1.
Since h(x) is the reflection of f(x) across the x-axis, the value of f(x) is negated to get the corresponding value for h(x).
For example, when x = π/4, the corresponding value for f(x) is 0, so the corresponding value for h(x) would be the negation of 0, which is also 0. Therefore, the missing value in the ordered pair is -1.
Since h(x) is the reflection of f(x) across the x-axis, the value of f(x) is negated to get the corresponding value for h(x).
For example, when x = π/4, the corresponding value for f(x) is 0, so the corresponding value for h(x) would be the negation of 0, which is also 0. Therefore, the missing value in the ordered pair is -1.