Question

to which family does the function y=(x 2)1/2 3 belong? a: quadratic b: square root c: exponential d :reciprocal

Answer 1

Answer:

option a is correct.

Step-by-step explanation:

We have given the equation:

$y=x+\frac{1}{2}^{\frac{1}{2}}+3$

Squaring both sides of the above equation we get:

$y^2=(x+\frac{1}{2})^2+9+2\cdot(x+\frac{1}{2})(3)$

After simplifying the first  step

$y^2=x^2+\frac{1}{4}+x+9+3(2x+1)$

$y^2=x^2+x+6x+3+9+\frac{1}{4}$

$y^2=x^2+7x+12+\frac{1}{4}$

After final simplification we get:

$4y^2=4x^2+28x+49$

We are getting quadratic equation since, the degree in resultant is 2.

Therefore, option a is correct.

Answer 2

the function to 
b: square root