1. Domain and range

2. Sketch a graph to help figure it out
Domain:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Range:
The range is the resulting y-values we get after substituting all the possible x-values
Sketch a graph to help figure it out
Range
Domain

3. Ten questions
Range

4. What is the range of f(x) What is the range of g(x)
𝑓 𝑥 = 4𝑥−2 8−𝑥 𝑥<2 𝑥≥2
𝑔 𝑥 = 1−3𝑥 𝑥− 𝑥<3 𝑥≥3
range of f(x) ≤𝟔
range of f(x) ≥−𝟖

5. 𝑓 𝑥 =3 𝑥 2 −2 𝑔 𝑥 =3− 𝑥 2 What is the range of f(x)
What is the range of g(x)
𝑓 𝑥 =3 𝑥 2 −2
𝑔 𝑥 =3− 𝑥 2
range of y= x2 is y≥0
range of y= =3x2 is y≥0
range of f(x) ≥ −𝟐
range of f(x) ≤ 𝟑

6. What is the range of f(x) What is the range of g(x)
𝑓 𝑥 = 7 8− 𝑥 𝑥<−1 −1≤𝑥<∞
𝑔 𝑥 = 𝑥−6 𝑥 2 − 𝑥<0 𝑥≥0
range 𝑓 𝑥 ≤8
range 𝑓 𝑥 𝜖 𝑹

7. 𝑔 𝑥 = 7 𝑥 2 −3, 𝑓 𝑥 = 8−𝑥 , What is the range of f(x)
What is the range of g(x)
𝑔 𝑥 = 7 𝑥 2 −3,
𝑓 𝑥 = 8−𝑥 ,
range 𝑓 𝑥 ≥0
range 𝑔 𝑥 ≥−3

8. 𝑓 𝑥 = 1 𝑥−2 , 𝑥≠2 𝑔 𝑥 = (4−𝑥) 3 , −2<𝑥<6
9 of 10
10 of 10
What is the range of f(x)
What is the range of g(x)
𝑓 𝑥 = 1 𝑥−2 , 𝑥≠2
𝑔 𝑥 = (4−𝑥) 3 ,
−2<𝑥<6
range 𝑓 𝑥 ≠0
𝑓 𝑥 ∈𝑅
range −8≤𝑔 𝑥 ≤216

9. One thing to improve is –
KUS objectives
BAT understand domain and range of functions
BAT define functions from graphs
self-assess
One thing learned is –
One thing to improve is –

10. END