Domain is set of all x-values. You are supposed to focus on the x-axis instead.
From the graph, the point starts from x = -5 and ends on x = 5. That means no values would exist after x = 5 or before x = -5.
Hence, the domain starts from -5 to 5.
Answer
Answer:
He drive for 385 miles
Step-by-step explanation:
11hrs = 605 miles
1hr = 55 miles
7hr = 55 × 7
= 385 miles
In a graph the roots of the function are given by the cut points with the x axis.
On the other hand, we have the following equation:
y = -x2 - x + 6
To find the roots, we equate to zero:
-x2 - x + 6 = 0
Rewriting we have:
x2 + x - 6 = 0
(x-2) (x + 3) = 0
The roots are:
x1 = 2
x2 = -3
Answer:
The roots are:
x1 = 2
x2 = -3
|-5| is greater than |-2| because |-5| is 5 and |-2| is 2 and 5 is greater than 2.
To transform the function

to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have

To transform the function

to have the midline

we need to subtract

by 4, so we have

,
To transform the function

to have period of

, we need to divide the original period

by 4, so we have

. Note that it is the

gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given

which is the last option