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HELP!!! WHICH FUNCTION HAS THE LARGEST Y INTERCEPT

HELP!!! WHICH FUNCTION HAS THE LARGEST Y INTERCEPT-example-1
User PalashV
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2 Answers

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The function that has the largest y-intercept is the function that has the largest y-value when x = 0.


f(0) = 2(0)^2+3(0)-4 = -4 is the y-intercept of f(x).


When g(0), the value of y is 0


To find the y-intercept of h(x), we find the point where x=0, and see that it equals -2.


Therefore, the function with the largest y-intercept is g(x)

User Amriteya
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4 votes

For f(x), the function uses the following formula:



ax^2 + bx + c


The y-intercept in this formula is represented by c.

f(x) has a c value of -4, so the y-intercept of f(x) is -4.


For g(x), the y-intercept is found when the graph cross the y-axis.

g(x) cross the y-axis at y = 0, so the y-intercept of g(x) is 0.


For h(x), the y-intercept is found by taking the output at x = 0.

At x = 0, the y value that is output is -2, so the y-intercept is -2.


Compare the three y-intercepts:



f(0) = -4


g(0) = 0


h(0) = -2



-4 < -2 < 0


The function with the greatest y-intercept is g(x), with a y-intercept of 0.

User Steve Zavocki
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