Question

The function h(x) = (x – 3)3 + 1 is graphed on a coordinate grid. Which statements about the graph are true? Check all that apply. The domain of the function is all real numbers. The range of the function is all real numbers. The graph is a translation 3 left and 1 up from the function f(x) = x3. The graph crosses the y-axis once. The graph crosses the x-axis three times. The graph increases from negative infinity to positive infinity.

Answer 1

Answer:A B D F ON EDG

Explanation:

Answer 2

The domain is all real numbers.

The range is all real numbers.

The graph crosses the y axis once.

The graph increases from negative infinity to positive infinity.

Explanation:

The graph crosses the axis when x = 0:

y(0) = (0 - 3)^3 + 1

= -27 + 1

= -26 so it crosses y-axis at (0, -26) only.

Point where it crosses the x axis is when y = 0:

(x - 3)^3 + 1 = 0

(x - 3)^2 = -1

x-3 = cube root of -1 = -1

x = 2. It only crosses the x axis once at (2, 0>