A key feature of the graph it represents is A f(x) = x² + 3x – 10 highlights the y-intercept is equal to -10.
Since f(x) = (x + 5)(x - 2) , f(x) crosses the x-axis when f(x) = 0.
So, (x + 5)(x - 2) = 0
x + 5 = 0 or x - 2 = 0
x = -5 or x = 2
So, f(x) crosses the axis at x = -5 and x = 2.
To find f(x) in standard form, we expand f(x) = (x + 5)(x - 2)
So, f(x) = x² - 2x + 5x - 2 × 5
f(x) = x² + 3x - 10
The y-intercept is when x = 0.
So, f(0) = 0² + 3(0) - 10
f(0) = -10
So, the graph intercepts the y-axis at x = -10
So, a key feature of the graph it represents is A f(x) = x² + 3x – 10 highlights the y-intercept is equal to -10.
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