what is the domain range and x and y intercepts of y=x^2+4

Step 1:

The function is $\"\"$ .

(i)

Find the domain of the function.

Domain of the function is values of $\"\"$ for which the function is mathematically correct.

The function is a second degree polynomial.

Therefore, domain of the function is set of all values of $\"\"$ .

Domain of the function is $\"\"$ .

(ii)

Find the range of the function.

Range of function is corresponding values of the function for different values of $\"\"$ .

Range of the function is $\"\"$ .

Step 2:

(iii)

Find the $\"\"$ intercepts of the function.

Substitute $\"\"$ in the function.

$\"\"$ has no real solutions, hence there are no $\"\"$ -intercepts.

(iv)

Find the $\"\"$ intercepts of the function.

Substitute $\"\"$ in the function.

$\"\"$

Therefore, $\"\"$ intercept is $\"\"$ .

Solution:

(i) Domain of the function is $\"\"$ .

(ii) Range of the function is $\"\"$ .

(iii) No $\"\"$ -intercepts.

(iv) $\"\"$ -intercept is $\"\"$ .