9514 1404 393
Answer:
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.
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The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.
The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
For this case we have the following table:
x f(x)
<span><span><span>0 2
</span><span>1 5
</span><span>2 10
</span><span>3 17
</span></span></span> The equation that best fits the data in the table, for this case, is given by a quadratic function.
<span><span><span> </span></span></span>The quadratic function in its standard form is:
f (x) = x2 + 2x + 2
Answer:
f (x) = x2 + 2x + 2
