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The function is a cube root function and the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
- The end behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis.
- In other words, the end behavior of a function explains the graph's trend when we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ).
To determine the end behavior:
- The equation of the function is given as:
- To determine the end behavior, we plot the graph of the function f(x).
- We can see from the accompanying graph of the function:
- As x approaches infinity, so does the function f(x), and vice versa.
- As a result, the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
Therefore, the function is a cube root function and the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
Know more about functions' end behavior here:
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The complete question is given below:
What is the end behavior of the function f of x equals negative 4 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
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Answer:
(a) x: Ferris wheel once; y: roller coaster once
Step-by-step explanation:
The coefficients of x and y are both 1 in the equation representing the statement ...
"if he rides them each once, it takes 14 minutes total."
That tells you that x and y represent the times for one ride.
__
The coefficient of x is 6 in the equation representing the statement ...
"he rides the Ferris wheel 6 times ..."
This tells you the variable x represents the Ferris wheel ride time. It is further confirmation that x represents the time for one ride.
