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

2 Answers

4 votes

Answer:


\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}

User Paul Dardeau
by
8.0k points
1 vote

Answer:

6

Explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

User Barrylachapelle
by
7.6k points

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