Finding Function Domain from Graph | math4u.vsb.cz

Submitted by petr.beremlijski on Tue, 10/22/2024 - 13:41

Project ID:

7360000046

Accepted:

SubArea:

Properties of functions

Type:

Layout:

Question:

Use the given graphs to find domains of corresponding functions and match each function with its domain.

Questions Title:

Graphs:

Answers Title:

Domains:

Question 1:

f (x) = 3 e^{- x^{2}} - 1

Question 1 Image:

Answer 1:

R

Question 2:

f (x) = {\begin{cases} - 0.5 (x + 4)^{2} + 4, & x \leq - 2 \\ 0.5 (x - 4)^{2} - 4, & x \geq 2 \end{cases}

Question 2 Image:

Answer 2:

(- \infty; - 2] \cup [2; \infty)

Question 3:

f (x) = {\begin{cases} - \frac{8}{x + 2} + 2, & x < - 2 \\ \frac{8}{x - 2} + 2, & x > 2 \end{cases}

Question 3 Image:

Answer 3:

(- \infty; - 2) \cup (2; \infty)

Question 4:

f (x) = {\begin{cases} - \frac{8}{x} + 2, & x < 0 \\ - \frac{8}{x} - 2, & x > 0 \end{cases}

Question 4 Image:

Answer 4:

R ∖ {0}

Question 5:

f (x) = {\begin{cases} \log_{2} (x + 2) + 1, & - 2 < x < 0 \\ \log_{2} (- x + 2) + 1, & 0 \leq x < 2 \end{cases}

Question 5 Image:

Answer 5:

$(- 2; 2)$

Question 6:

f (x) = 2, x > 0

Question 6 Image:

Answer 6:

(0; \infty)