Answer:
b, c
Explanation:
A function is continuous if its graph can be drawn without lifting the pencil. It is decreasing wherever its slope is negative.
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A graph of the function is attached. It has a "jump" discontinuity at x=0, so is not a continuous function.
The value of f(0) is 2, so the y-intercept is 2.
The given function is defined for all values of x, so its domain is all real numbers.
The function is decreasing for values of x > 0, so does not approach positive infinity for large positive x.
The function has a stationary point at x=0, so is not decreasing over its entire domain.
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Additional comment
The function is decreasing everywhere except at x=0. The point (0, 2) is the vertex of the quadratic portion of the function, so a tangent is horizontal there. At such horizontal tangent points, a function is neither increasing nor decreasing. It is tempting to ignore this exception, because the function is decreasing everywhere else.