# What is the domain and range for y=4absx-1?

Domain: $\left(- \infty , \infty\right)$
Range: $\left[- 1 , \infty\right)$
The domain is all real numbers because you can multiply 4 by any number from -infinity to infinity, although the only value used will be the absolute value. For example, if x= - 7 then y=27 because $4 \cdot | - 7 | - 1 = 4 \cdot 7 - 1$.
Because x is absolute value, the lowest number you can have is zero. $4 \cdot 0 - 1 = - 1$ thus making -1 the lowest value you can have for y.