Question

What are the apparent zeros of the cubic function graphed above? (also if you have the answers to the rest of this test plz send them thx)

Answer 1

C. {-1,2}

Explanation:

We are given the graph of a cubic function.

Fundamental Theorem of Algebra states that 'An n-degree function will have n number of zeroes'.

Thus, the given cubic function will have 3 zeroes.

Since, we see that,

The graph of the function is crossing the x-axis at the point -1.

So, x= -1 is a zero of the cubic function.

Also, the graph of the function touches the x-axis at the point 2.

So, x= 2 is also a zero of the cubic function with multiplicity 2 (i.e. they are repeating zeroes).

Thus, the three zeroes of the cubic function are -1, 2 and 2.

Hence, according to the options,

The zeroes of the cubic function are {-1,2}.

Answer 2

C. {-1,2}

Explanation:

We are given the graph of a cubic function.

Fundamental Theorem of Algebra states that 'An n-degree function will have n number of zeroes'.

Thus, the given cubic function will have 3 zeroes.

Since, we see that,

The graph of the function is crossing the x-axis at the point -1.

So, x= -1 is a zero of the cubic function.

Also, the graph of the function touches the x-axis at the point 2.

So, x= 2 is also a zero of the cubic function with multiplicity 2 (i.e. they are repeating zeroes).

Thus, the three zeroes of the cubic function are -1, 2 and 2.

Hence, according to the options,

The zeroes of the cubic function are {-1,2}.