Question

Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!

Answer 1

The x-intercept is at (∞, 0)

The y intercept is (0, 1)

Intercept of a graph

The x-intercept of a graph occurs at the point where y = 0

Given the equation y =  5^x

If y = 0

5^x = 0

xln5 = ln 0

x = ln0/ln5

x = ∞

The x-intercept is at (∞, 0)

y-intercept

The y-intercept occurs at the point where x = 0

y = 5^0

y = 1

Hence the y intercept is (0, 1)

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