Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12

The range is {-4, 0, 28}

Step-by-step explanation:

Domain reffers to input values, or x-coordinates.

Put the domain values into the function to solve for the y-coordinates, which is the range.

y = 4(2) - 12

y = 8 - 12

y = -4 ... (2, -4)

y = 4(3) - 12

y = 12 - 12

y = 0 ... (3, 0)

y = 4(10) - 12

y = 40 - 12

y = 28 ... (10, 28)

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.