Question

The graph of an absolute value function = a|x| includes the point (1,6). Complete the following statements. The value of a is ____​

Answer 1

`\displaystyle a = 6`

Explanation:

we are given a absolute value function

`\displaystyle f(x) = a |x|`

we want to figure out the value of a

since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus

substitute:

`\displaystyle 6= a \cdot |1|`

absolute value of any integer is positive therefore,

`\displaystyle 6= a \cdot 1`

simplify multiplication:

`\displaystyle 6= a`

hence,

the value of a is
`\underline{\quad 6 \quad}`

Answer 2

6

Explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6