Question

Given f(x) = (x − 1)(x + 2)(x − 3), what are the zeros and end behavior of the function? −1, 2, −3; continues downward to the left and upward to the right −1, 2, −3; continues upward to the left and downward to the right 1, −2, 3; continues downward to the left and upward to the right 1, −2, 3; continues upward to the left and downward to the right.

Answer 1

A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

• Function : -

A function assigns the value of each element of one set to the other specific element of another set.

• Zeroes of a function: -

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph.

Now, According t the question:

Given that, f(x) = (x - 1)(x + 2)(x − 3)

Therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

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