All points of the step function f(x) are graphed.
2 answers:
Answer:
First option is correct.
Step-by-step explanation:
Domain is the set of x values for which the function is defined.
Hence, in order to find the domain, we see at which x values the graph originates and at which value of x the graph terminates.
The piece wise function is graphed between the values -4 and 4.
There is a hole at x = -4 hence, we'll not include this point in domain.
There is a solid circle at x = 4 hence, we'll include this point in domain.
Therefore, the domain of f(x) is
First option is correct.
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Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,
Similarly, in Δ ACD,
Hence, the mat is 4.33 ft high off the ground.
