Functions and graphs

Functions and graphs > Domain and range

12345Domain and range

Solutions to the exercises

Exercise 1

$D_{f} = ℝ$ and $B_{f} = [-6.25; \to ⟩$

$D_{g} = ℝ$ and $D_{g} = [-1.62; \to ⟩$

$D_{h} = ℝ$ and $B_{h} = ℝ$

$D_{k} = [0, \to ⟩$ and $B_{k} = [1, \to ⟩$

Exercise 2

$x = 0 \lor x = \pm \frac{1}{2} \sqrt{2}$

$D_{f} = [-2, 2]$ × $B_{f} = [-2, 1]$

$D_{f} = ⟨ \leftarrow; -0.125]$ and $B_{f} = ⟨ \leftarrow, 0]$

$(-1, 1)$ , $(0, 0)$ and $(1, 1)$

Exercise 3

$80$ m after $4$ s.

$D_{h} = [0, 6]$ and $B_{h} = [0, 80]$

$60$ m

$6.92$ s

Because $h$ is plotted against $t$

Exercise 4

$R = p (400 - 0.5 p)$

$p$ in $[0, 800]$

$R$ in $[0, 80000]$

Exercise 5

$[-1740, 60]$