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gavmur [86]
3 years ago
10

A function is shown: f(x) = 16x2 − 1. Choose the equivalent function that best shows the x-intercepts on the graph.

Mathematics
2 answers:
Ann [662]3 years ago
8 0

f(x) = 16x² - 1

The x-intercepts are the roots, i.e., the values of x for which f(x) = 0.

Use the Quadratic Formula to determine the roots.

x = [0±√0²-4·16(-1)]/[2·16] = ±√64/32 = ±8/32 = ±¼

f(x) = 16(x-¼)(x+¼) = (4x-1)(4x+1)

adoni [48]3 years ago
4 0

Answer:

Step-by-step explanation:

f(x) = 16x² - 1

The x-intercepts are the roots, i.e., the values of x for which f(x) = 0.

Use the Quadratic Formula to determine the roots.

x = [0±√0²-4·16(-1)]/[2·16] = ±√64/32 = ±8/32 = ±¼

f(x) = 16(x-¼)(x+¼) = (4x-1)(4x+1)

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