Ans:
1. A continuous piecewise function is created using the following types of functions:
a. Polynomial.
b. Rational.
c. Logarithmic.
d. Sinusoidal.
2. There are mainly 4 types of transformations. They are:
a. Translation.
b. Scaling.
c. Rotation.
d. Reflection.
Here, we will use the first two types of transformations, that is Translation and Scaling.
Ans:
1. A piecewise function is shown below:
The concerned graph is shown in the next page:
, 2. Transformations: -
a. Translation: -
Graphs of all the functions are translated by 3 units towards the
negative 𝑥 axis and the variable 𝑥 is replaced by (𝑥 + 3) in the functions to get
the new ones.
The concerned graph is shown in the next page:
1. A continuous piecewise function is created using the following types of functions:
a. Polynomial.
b. Rational.
c. Logarithmic.
d. Sinusoidal.
2. There are mainly 4 types of transformations. They are:
a. Translation.
b. Scaling.
c. Rotation.
d. Reflection.
Here, we will use the first two types of transformations, that is Translation and Scaling.
Ans:
1. A piecewise function is shown below:
The concerned graph is shown in the next page:
, 2. Transformations: -
a. Translation: -
Graphs of all the functions are translated by 3 units towards the
negative 𝑥 axis and the variable 𝑥 is replaced by (𝑥 + 3) in the functions to get
the new ones.
The concerned graph is shown in the next page:
