Jackie bicycles 9 kilometers west to get from her house to school. After school, she bicycles 12 kilometers north to her friend
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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.
Answer:
Step-by-step explanation:
we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.
general equation of horizontal parabola is
where (h,k) is the vertex
(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation
Now find out the value of 'a' using x intercept (4,0)
Add 5 on both sides
a=1
the equation becomes