Question

Find all intercepts for y = (x+5) * sqrt(4-x^4)?

Answer 1

Step 1:

The equation is .

Domain :

The domain of a  function is the set of values of  for which the function is mathematically correct.

The function  under the square root should not be negative.

.

Solve the inequality .

is always greater than zero, hence .

Therefore, the domain of the function is .

Range :

Range is the output values of the function.

The range of the function is .

Step 2:

Find the - intercept by susbtituting in .

or .

or

or

or

is not in the domian of the function .

Therefore,the - intercepts are  .

Step 3:

Find - intercept by substituting in .

.

is the not in the range of the function.

Therefore the - intercept is .

Solution :

The -intercepts are and - intercept is .