Functions and Graphs

The function $f\,$ is defined by

x^2 - 10x + 25, \quad x \in \mathbb{R}, x \geq 5

a.

State the range of $f$ .

[2]

b.

Sketch the graphs of $f (x)$ and $f^{-1}(x)$ on the same diagram.

[3]

c.

Find an expression for $f^{-1}(x)$ and state its domain.

[4]

The function $f\,$ is defined by

x^2 - 10x + 25, \quad x \in \mathbb{R}, x \geq 5

a.

State the range of $f$ .

[2]

b.

Sketch the graphs of $f (x)$ and $f^{-1}(x)$ on the same diagram.

[3]

c.

Find an expression for $f^{-1}(x)$ and state its domain.

[4]

Functions and Graphs Questions