Consider the function f(x)=-3x^2 +7x -k. [3 marks] a) for what values of k will the function have no zeros? b) for what values of k will the function have one zero? c) for what values of k will the function have two zeros?

a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

a) For what values of k will the function have no zeros?

It mean it has no real zeroes i.e. Discriminant < 0

As we know that

Here, a =-3

b = 7

c = -k

So, it becomes,

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

So, it becomes,

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

answe

its a

step-by-step explanation:

true