Graphs of Inverse Functions 2

Below are the graphs of

and

. Since

and

, we know that f and g are inverse functions. By adjusting the slider, you can change the value of a and move the points G and F.

At a=2, what are the coordinates of F and G, respectively?

Vérifier ma réponse

Which of the following describe the coordinates of G?

Cochez votre réponse ici

A
G=(f(a), a)
B
G=(a, f(a))
C
G=(g(a),a)
D
G=(a, g(a))

Vérifier ma réponse (3)

Which of the following describe the coordinates of F?

Cochez votre réponse ici

A
F=(a,f(a))
B
F=(f(a), a)
C
F=(a, g(a))
D
F=(g(a), a)

Vérifier ma réponse (3)

What do you notice about the coordinates of these points?

Cochez votre réponse ici

A
F and G have the same x-coordinates
B
F and G have the same y-coordinates
C
The x-coordinate of F is the y-coordinate of G and the y-coordinate of F is the x-coordinate of G
D
There is no connection between the coordinates of F and G

Vérifier ma réponse (3)

Click on the hint below to find the graph of y=g(x). Using the graph below, describe the relationship between the graphs of y=f(x) and y=g(x)?

Vérifier ma réponse

With your knowledge of inverse functions, can you find the inverse function of the function below? Input your function g(x) in the box and check if its reflection lands on f(x).

Graphs of Inverse Functions 2

Nouvelles ressources

Découvrir des ressources

Découvrir des Thèmes