Find the y-coordinate of the y-intercept of the polynomial function defined below.f, of, x, equals, 7, x, plus, 5, x, squared, minus, 2f(x)=7x+5x 2 −2
Question
Find the y-coordinate of the y-intercept of the polynomial function defined below.
The polynomial function is given as:
To find the y-coordinate of the y-intercept, evaluate .
Solution
The y-intercept of a function is the point where the graph of the function intersects the y-axis. This occurs when the x-value is 0.
So, to find the y-intercept of the function f(x) = 7x + 5x^2 - 2, we substitute x = 0 into the function:
f(0) = 7(0) + 5(0)^2 - 2 = 0 + 0 - 2 = -2
So, the y-coordinate of the y-intercept of the function is -2.
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