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The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)
<h3>The graph of the function</h3>The piecewise function is given as:
See attachment for the graph of the piecewise function.
<h3>The x-intercepts of the piecewise function</h3>This is the point where the piecewise function crosses the x-axis.
From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17
Hence, the x-intercepts of the piecewise function are -2, 0 and 17
<h3>The intervals where g(x) is positive</h3>This is the range of x value where g(x) > 0
From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17
Hence, the intervals where g(x) is positive are (-2,0) and [2,17)
Read more about piecewise function at:
#SPJ1
Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
