The function g is related to one of the parent functions g(x) = |x − 1| + 5
1 answer:
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Answer:
1,225 miles = 77616000 inches
Step-by-step explanation:
It is asked to find the number of inches in 1,225 miles
Given
1 inch ≈ 1.578 × 10^-5 miles
Therefore, 1 mile = 63360 inches
Therefore, 1,225 miles = 1225 x 63360 inches
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Therefore the final answer is
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
The function is divided in 2 parts:
For x<0, the function is
, which is a linear function, and its graph is a line.
For x≥0, the function is
, which is a quadratic function, and its graph is a parabola.
Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.
The parabola is the parabola 
reflected with respect to the x-axis. It contains points like (0, 0), (-1, 1), (2, -4) etc...
The 2 graphs, with domain all real numbers, are shown in the first picture.
The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.
That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.
For x<0, the function is
For x≥0, the function is
Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.
The parabola
The 2 graphs, with domain all real numbers, are shown in the first picture.
The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.
That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.