5. Review: Determine if the data set is a function and explain why or why not: {(-5,6).(-6, 2).(-2,6). (-1,8). (4,6)
1 answer:
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Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = =
cosq = =
<u>Answer:</u>
A. y = -2 - cos(x-π)
<u>Explanation:</u>
<u>The general form of the trig equation is:</u>
y = A sin (Bx + C) + D
where:
A is the amplitude
is the period
is the phase shift
D is the vertical shift
<u>Now, let's check the choices:</u>
<u>A. y = -2 - cos(x-π)</u>
Therefore, the function has a phase shift of π
<u>B. y = 3 cos(4x)</u>
Therefore, the function has no phase shift
<u>C. y = tan(2x)</u>
Therefore, the function has no phase shift
<u>D. y = 1 + sin(x)</u>
Therefore, the function has no phase shift
<u>Based on the above,</u> the correct answer is A
Hope this helps :)