Pre-Calculus

Question 1

Answer 1

(i) = Represents a function because it passes the vertical line test.
(i) is not invertible as it fails the Horizontal line test.
(ii) =Represents a function because it passes the vertival line test.
(ii) Is invertible as it passes the horizontal line test.
(iii) =Not a function as it Fails the vertical line test.

Question 2

Answer 2

Range=(-∞ ,0)

Domain=(-5/2,∞ )

Inverse-y=4/2x² -5/2

Range of inverse=(-5/2,∞ )

Domain of Inverse=(-∞ ,0)

Question 3

Answer 3

(A)= Not a function, as Z determines more then one value of Y, thus it would fail the vertical line test.

(B)= Is a function, as each X value determines at most one Y value, thus it would pass the vertical line test.

(B) is not Invertible as it is not one to one, thus it would fail the horizontal line test.

Question 4

Answer 4

(i)= D(0,1)U(1,∞)

R(-∞,0)U(0,∞)

(ii) = e^1/x
(iii) = D(-∞,0)U(0,∞)

R(0,1)U(1,∞)