Question

I NEED HELPPP ASAPPPPP
What are the domain and range of g ( x ) =
-1/4( x - 17)2 + 61?

Answer 1

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),x∈R

Range: (−∞,∞),y∈R

Explanation:

Answer 2

Explanation:

step 1. I assume g(x) = -(1/4)(x - 17)^2 + 61

step 2. domain is all the possible x's. all x's are permissible

step 3. domain: "all x" written as ( inf, -inf )

step 4. range is all the possible y values. g(x) is a quadratic pointing downward. the vertex (17,61) is the highest included y value

step 5. range: [61, -inf).