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

Answer:

6

Step-by-step explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

Answer 2

Answer:

$\displaystyle a = 6$

Step-by-step 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 $\underline{\quad 6 \quad}$