Answer:
C. {-1,2}
Step-by-step 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:
C. {-1,2}
Step-by-step 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}.
