Given that both $a$ and $b$ are positive constants, on the same diagram, sketch the graphs of $y=\fr

Question

Given that both $a$ and $b$ are positive constants, on the same diagram, sketch the graphs of $y=\frac{2}{\left| x-a \right|}$ and $y=b\left| x-a \right|$. [3] Hence, or otherwise, solve the inequality $\frac{2}{\left| x-a \right|}>b\left| x-a \right|$. [3]

Accepted Answer

(a) Graph with y=b|x-a| and y=2/|x-a|; (b) x₁ = a - √(2/b), x₂ = a + √(2/b); a - √(2/b) < x < a or a < x < a + √(2/b)

Graphs and Inequalities with Absolute Value Functions Q7

Graphs and Inequalities with Absolute Value Functions Q7

Video Solution:

Solution:

Solution locked