I REALLY NEED HELP PLEASE :(
1 answer:
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Answer:
i)D:
ii)R:
iii) Y-int:(0,-1)
Step-by-step explanation:
i) The given absolute value function is;
.
The absolute value function is defined for all real values of x.
The domain is all real numbers.
ii) The range is all y-values that will make x defined.
The given function,
.
has vertex at, (-2,-3) and opens upwards.
This implies that, the minimum y-value is -3.
The range is
iii) To find the y-intercept substitute x=0 in to the function.
.
.
.
.
The y-intercept is (0,-1)
See attachment for graph.
average rate of change is just the slope from (0,f(0)) to (2,f(2))
basically, average rate of change=slope=
evalaute each
f(2)=4(2)^2=4(4)=16
f(0)=4(2)^0=4(1)=4
so average rate of change=
average rate of change is 6