# Graph linear functions ```3.7
 Equations that represent functions are often written in
function notation.
 f(x) is used in place of y in function notation.
y = mx + b

becomes
f(x) = mx + b
 If I want to evaluate for a number, I can plug the number in
for x
 f(#) means to plug the # in for x in order to evaluate.
 ***can use other letters. For example g(x), h(x),…
 Evaluate the function y = 3x + 2 for x = -2, 0, and 3
 X = -2:
 X = 0:
 X = 3:
 Evaluate the function f(x) = 3x + 2 for x = -2, 0, and 3
 X = -2:
 X = 0:
 X = 3:
 Evaluate when x = 4
 f(x) = 3x – 2
 g(x) = -2x + 7
 h(x) = &frac12;x - 5
 Given y = 3x + 4, find the value of x so that y = 10
 Given f(x) = -2x+10, find the value of x so that f(x) = -6
c.
f ( x)  2 x  5; 9
2
g ( x)  x  6; 14
3
h( x)  4 x  18; 8
 A family of functions is a group of functions with similar
characteristics. For instance, linear functions of the form
g(x) = mx + b is a family of functions. The most basic form
of this equation is f(x) = x. This is called the parent
function.
2
g ( x)  x
3
 pp. 203-204: 3, 7, 11, 15-21 odd, 23, 25, 31, and 33
```