Question

The zeros of a function are the values of x for which the function is equal to zero.

Enter a number in each blank to make true statements about the function m(x)=(2x−6)(x−4).

Answer 1

Answer: all of them are basically 3 and 4

m(x)=0 when x= 3 and when x= 4

The graph of m intercepts the x-axis at x= 3 and x= 4

The zeros of m are 3 and 4

ttm 2021

Answer 2

see explanation

Explanation:

m(x) = 0 when

(2x - 6)(x - 4) = 0

Equate each factor to zero and solve for x

2x - 6 = 0 ⇒ 2x = 6 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

m(x) = 0 when x = 3 and when x = 4

The graph of m intercepts the x- axis at x = 3 and x = 4

The zeros of m are x = 3 and x = 4

Note that the x- intercepts and the zeros are the same values.