Identify the change in the parent function that will produce the related function shown as a dashed line
1 answer:
Answer:
Translate 2 units upward
Step-by-step explanation:
See attachment for the functions
Required
Determine the change in f(x) that gives the dashed line
From the attachment, there is only one transformation from f(x) to the dashed line.
The transformation is a translation of 2 units, upward.
Let the dashed line be g(x)
g(x) will be:
Substitute for f(x)
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Answer:
Step-by-step explanation:
Given is a function as
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.