Question

Function 111 is defined by the equation y=-2x+10y=-2x+10y, equals, minus, 2, x, plus, 10. Function 222 is defined by the following table. xxx yyy 000 101010 222 555 444 000 666 -5-5minus, 5 Which function has a greater yyy-intercept? Choose 1 answer: Choose 1 answer: (Choice A) A Function 111 (Choice B) B Function 222 (Choice C) C The functions have the same yyy-intercept.

Answer 1

Function 111 has a greater y-intercept of 10, compared to Function 222, which has a y-intercept of 0. Therefore, the greater y-intercept belongs to Function 111.

Step-by-step explanation:

In order to determine which function has a greater y-intercept, we need to examine the equations of the functions:

Function 111: y = -2x + 10

Function 222: y = -5

The y-intercept is the value of y when x is equal to 0. For Function 111, when we substitute x = 0 into the equation, we get y = -2(0) + 10 = 10. Therefore, the y-intercept for Function 111 is 10.

For Function 222, the equation is y = -5. Since the equation does not involve x, the y-intercept remains the same regardless of the value of x. Thus, the y-intercept for Function 222 is -5.

Comparing the y-intercepts, we find that Function 111 has a greater y-intercept (10) than Function 222 (-5).

The question asks which function, Function 111 defined by the equation y = -2x + 10 or Function 222 represented by a given table, has a greater y-intercept. To determine the y-intercept of a function is to find the value of y when x is 0. For Function 111, by substitute x with 0 in the equation, we get y = -2(0) + 10, which simplifies to y = 10. Hence, the y-intercept for Function 111 is 10.