Answer:
Reciprocal, Exponential and Logarithmic.
Step-by-step explanation:
x intercept is the value of x where y value is 0.
y intercept is the value of y where x value is 0.
Let us have a look at the possibility for <em>each parent function </em>as given.
I. Linear
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
II. Absolute value
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
III. Quadratic
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
IV. Cubic
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
V. Square root
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
VI. Cube root
When x = 0, y = 0 and
When y = 0, x = 0
Therefore, both x and y intercept exist.
VII. Reciprocal
When
Therefore, both x and y intercept do not exist.
VIII. Exponential
where b is any base:
When therefore y intercept exists.
When we put y = 0, which is not possible
Therefore, both x and y intercept do not exist.
IX. Logarithmic
When not defined
Therefore, both x and y intercept do not exist.