Find the shaded region.
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The true statement about f(x) and g(x) is (a) the graph of f(x) is less steep than the graph of g(x).
The equations are given as:
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So, the equations of f(x) and g(x) are:
A linear equation y = mx + b has a slope of m and a y-intercept of b.
So, the slopes of g(x) and f(x) are 3 and -3/4.
So, the y-intercept of g(x) and f(x) are 4 and -1
This means that
- The graph of f(x) is less steep; option (a) is true
- The y-intercept of f(x) is 5 less the y-intercept of g(x); option (b) is false
Both graphs are not the same, and they have different x-intercepts.
Hence, the true statement is (a)
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