find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}. {-5, -3, 0, 7, 11} {-5, -4, -3, -2, -1} {-11, -7,
1 answer:
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Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For :
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For :
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]
Answer:
the function given
for 4 units up, just add 4 as a constant
4 units up means, every old value will now be 4 more than previous value. at x=0, y=0 in the transformed curse it should x=0 and y=4, so just add it.
for 6 units left,
each old value of y should now occur 6 units before the old value of x i.e. X=x+6
for example, the point (0,0) should occur at (-6,0) in the transformed graph,
hence,
so the final curve is