Answer:
D. The minimum y-value of g(x) approaches -3
Explanation:
Form a table for values of x with corresponding values for f(x) and g(x)
x f(x)=3x²-3 g(x)=2^x -3
-3 =3(-3²)-3=24 2⁻³ -3 = -2.88
-2 =3(-2²)-3=9 2⁻² -3 = -2.75
-1 =3(-1²)-3=0 2⁻¹-3 = -2.5
0 =3(0²)-3= -3 2⁰ -3 = -2
1 =3(1²)-3=0 2¹ -3 = -1
2 =3(2²)-3=9 2²- 3 = 1
3 =3(3²)-3=24 2³ -3= 5
From the table above, you can see the minimum value of y in g(x) -2.88 approaches -3