Phyllis solved the compound inequality 16 < 2(3x – 1) < 28. She began by first breaking the inequality into two separate i
nequalities, then she correctly solved each for x. 16 < 2(3x – 1) and 2(3x – 1) < 28 3 < x x < 5 Which graph represents her solution?
2 answers:
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Answer:
y = tan(x +π/2)
Step-by-step explanation:
It can be helpful to start with a simple sketch of the function you have and of the tangent function. Then, you can see the relationship.
The tangent function is always rising, has vertical asymptotes at -π/2 and π/2, and has a zero crossing at x=0.
The function we want is always rising, has vertical asymptotes at x=0 and x=±π, and a zero crossing at x=-π/2.
We can create the function we want by shifting the tangent function to the left by π/2. The formula that does that is ...
y = tan(x +π/2)
