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

Answer 1

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 .