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What is the answer to this

What is the answer to this-example-1

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The graph of function g(x) = -3x + 2 has a y-intercept of (0, 2) and a slope of -3. I highly recommend drawing this straight line using this info.

You can read the value of f(0) directly from the graph; it is 0. Subst. 0 for x in g(x) = -3 + 2 results in g(0)=2, which is greater than f(0) = 0.

Now compare f(2) and g(2):
From the graph, f(2) = 4. From g(x) = -3x + 2, g(2) = -4. Obviously f(2) is greater than g(2) here.

Next, compare f(-1) and g(-1). From the graph, f(-1) = -4. From g(x) = -3x + 2, we see that g(-1) = 5. So, f(-1) is less than g(-1).
User Anton Balashov
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