Question

Show all the steps that you used to solve this problem.
Write an inequality for the graph.​

Answer 1

h(x) ≥ |x - 5| +1

Explanation:

Given graph represents an absolute function (parent function)

f(x) = |x|

Since, graph of the function 'f' has been shifted 5 units to the right new function will be,

g(x) = f(x - 5)

g(x) = |x - 5|

Again function 'g' is shifted 1 unit upwards along the y-axis then the new function will be,

h(x) = g(x) + 1

h(x) = |x - 5| + 1

There is a shaded region representing the solution area lying above the intersecting dark lines,

Therefore, solution region will be re[presented by the inequality,

h(x) ≥ |x - 5| + 1