Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Define
h
:
R
→
R
h:\mathbb R\to \mathbb R
h
:
R
→
R
by
h
(
x
)
=
1
∣
x
−
2
∣
+
1
h(x)=\dfrac{1}{|x-2|+1}
h
(
x
)
=
∣
x
−
2∣
+
1
1
. a. (i) Find the domain of
h
h
h
. b. (ii) Determine the range of
h
h
h
. Give your answer in interval notation. c. (iii) Draw a neat, labelled sketch of
y
=
h
(
x
)
y=h(x)
y
=
h
(
x
)
, clearly indicating any intercepts, asymptotes, and turning points.
Browse the problem library