Question

Compare the functions shown below:

f(x) = x3 + 2x2 − 4x − 3

g(x) = polynomial graph with x intercepts at negative 2, negative 1, 1, 3, y intercept at 6

h(x) = trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
Over the interval x = 0 to x = 2π

Which function has the most x-intercepts?

f(x)
g(x)
h(x)
All three functions have the same number of x-intercepts.

Answer 1

9514 1404 393

Answer:

g(x)

Explanation:

f(x) is cubic, so can have at most 3 x-intercepts.

g(x) has 4 x-intercepts listed.

h(x) has 2 x-intercepts listed.

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g(x) has the most x-intercepts.