Is X 7 A Function
If we in the following equation y=ten+7 assigns a value to x, the equation volition requite united states of america a value for y.
Case
$$y=x+7$$
$$if\; x=ii\; and so$$
$$y=2+7=9$$
If we would take assigned a dissimilar value for x, the equation would have given u.s. another value for y. We could instead accept assigned a value for y and solved the equation to find the matching value of x.
In our equation y=x+7, we take two variables, x and y. The variable which we assign the value we telephone call the contained variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our instance above, 10 is the independent variable and y is the dependent variable.
A role is an equation that has just one answer for y for every x. A part assigns exactly one output to each input of a specified type.
It is common to name a function either f(x) or thousand(ten) instead of y. f(two) means that we should find the value of our role when 10 equals ii.
Case
$$f(x)=x+vii$$
$$if\; x=2\; then$$
$$f(2)=two+7=9$$
A office is linear if information technology can be divers past
$$f(x)=mx+b$$
f(ten) is the value of the part.
m is the gradient of the line.
b is the value of the role when x equals zero or the y-coordinate of the betoken where the line crosses the y-axis in the coordinate aeroplane.
x is the value of the x-coordinate.
This form is called the slope-intercept grade. If m, the slope, is negative the functions value decreases with an increasing x and the opposite if we have a positive gradient.
An equation such as y=x+7 is linear and in that location are an infinite number of ordered pairs of x and y that satisfy the equation.
The slope, chiliad, is hither 1 and our b (y-intercept) is 7.
The slope of a line passing through points (x1,y1) and (x2,y2) is given by
$$m=\frac{y_{2}-y_{one}}{x_{two}-x_{1}}$$
$$x_{ii}\neq x_{i}$$
If two linear equations are given the same slope it means that they are parallel and if the production of two slopes m1*m2=-i the ii linear equations are said to be perpendicular.
Video lesson
If x is -1 what is the value for f(x) when f(x)=3x+v?
Is X 7 A Function,
Source: https://www.mathplanet.com/education/algebra-2/how-to-graph-functions-and-linear-equations/functions-and-linear-equations
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