# All Parent functions have both x- intercepts and y-intercepts EXCEPT. I. Linear II. Absolute Value III.Quadratic IV. Cubic V.Square root VI. Cube root VII. Reciprocal VIII. Exponential IX. Logarithmic

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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 each parent function as given.I. Linear[tex]y =x[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.II. Absolute value[tex]y =|x|[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.III. Quadratic[tex]y =x^{2}[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.IV. Cubic[tex]y =x^3[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.V. Square root[tex]y =\sqrt x[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.VI. Cube root[tex]y =\sqrt[3]x[/tex]When x = 0, y = 0 andWhen y = 0, x = 0Therefore, both x and y intercept exist.VII. Reciprocal[tex]y =\dfrac{1}x[/tex]When [tex]x = 0, y \rightarrow \infty[/tex]Therefore, both x and y intercept do not exist.VIII. Exponential[tex]y =b^x[/tex] where b is any base:When [tex]x = 0, y =1[/tex] therefore y intercept exists.When we put y = 0, which is not possibleTherefore, both x and y intercept do not exist.IX. Logarithmic[tex]y =logx[/tex]When [tex]x = 0, y \rightarrow[/tex] not definedTherefore, both x and y intercept do not exist.