SOLUTION: Which of the following is the domain for the equation y − 4.2 = 3.5(x − 2)? A x ≤ −2.8 B y ≤ −2.8 C −∞ ≤ x ≤ ∞ D −∞ ≤ y ≤ ∞

Algebra.Com
Question 1202315: Which of the following is the domain for the equation y − 4.2 = 3.5(x − 2)?
A x ≤ −2.8
B y ≤ −2.8
C −∞ ≤ x ≤ ∞
D −∞ ≤ y ≤ ∞

Found 3 solutions by Theo, greenestamps, math_tutor2020:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
equation is y - 4.2 = 3.5 * (x - 2)
add 4.2 to both sides of the equation to get:
y = 3.5 * (x - 2) + 4.2
i think selection C.
that is minus infinity <= x <= plus infinity.
this means any real value of x can be used as input to the function and that the result will be a real value of y for each and every value of x.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


It's a linear equation with non-zero slope; the domain is all real numbers.

ANSWER: C


Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

−∞ ≤ x ≤ ∞ should be −∞ < x < ∞

We cannot reach infinity as it's not a number.
It's a concept of going forever in one direction along the number line.

This is why the domain in interval notation would be (−∞, ∞) rather than [−∞, ∞]

RELATED QUESTIONS

which choice is equivalent to the following equation? y= (x-5)^2+16 A. y=... (answered by MathLover1)
Find the equation of the circle whose center is on the line 2x - y + 4 = 0 and which... (answered by math_tutor2020,Alan3354,ikleyn)
Which of the following points is on the graph of the equation y = x2 ? A. (-2, 4) (answered by rfer)
The expression x^12 + y^12 is equivalent to which of the following: a) ( x^2 + y^2)^6 (answered by sudhanshu_kmr)
Which of the following is a solution to the inequality below? (x^2/4^2)-(y^2/5^2)<=1 (answered by oscargut)
Which of the following is an equation of a circle with a center at (-1, 0)? A. (x-1)^2 (answered by Theo)
Which of the following equations is a quadratic equation ? a. y = x^2 + 4 b. y =... (answered by stanbon)
Consider the parabola y=x^2 +4x-3. Find the equation of the directrix. One of the... (answered by greenestamps)
Which is the equation for the axis of symmetry of y = 1/2x^2 - 2x - 3? a) y = 2 b)... (answered by Fombitz)