Question

attributes of cubic and cube root functions
the table below represents selected values of a cubic functions. analyze the table and determine the x-intercept(s) and the y-intercept.

x	y
1	0
2	1
3	2
4	9

• x-intercept(s): (0,0) and (1,0)

y-intercept: (0, - 7)

• x-intercept(s): none

y-intercept: (0,0)

• x-intercept(s): (1, 0)

y-intercept: (0, - 7)

• x-intercept(s): (1,0)

y-intercept: none

Explanation:

Step1: Recall intercept definitions

x - intercept is where \( y = 0 \), y - intercept is where \( x = 0 \).

Step2: Find x - intercept

Look at table: when \( x = 1 \), \( y = 0 \). When \( x = 0 \), \( y=-7
eq0 \). So x - intercept is \( (1,0) \).

Step3: Find y - intercept

When \( x = 0 \), \( y=-7 \), so y - intercept is \( (0, - 7) \).

Answer:

x - intercept(s): \((1, 0)\)
y - intercept: \((0, -7)\) (corresponding to the option with x - intercept \((1,0)\) and y - intercept \((0, - 7)\))