MATH SOLVE

3 months ago

Q:
# Find the domain and sketch the graph of the function f(x) = 1.6x - 2.4

Accepted Solution

A:

Answer:Domain: (-∞, ∞), {x| x ∈ R}Step-by-step explanation:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real numbers that makes the expression undefined.Rewrite the function as an equation.y = 1.6x + 2.4Use the slope-intercept form to find the slope and y-intercept.The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.y = mx + bFind the values of m and b using the form y = mx + b.m = 1.6b = -2.4The slope of the line is the value of m, and the y-intercept is the value of b.Slope: 1.6y-intercept: -2.4Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.Choose 0 to substitute in for x to find the ordered pair.Replace the variable x with 0 in the expression.f(0) = 1.6(0) - 2.4 = -2.4The first point is (0, -2,4)Choose 1 to substitute in for x to find the ordered pair.Replace the variable x with 1 in the expression.f(1) = 1.6(1) - 2.4 = -0.8Graph the line using the slope and the y-intercept, or the points. You can find the graph in the attachment.