Page 189 - ABCTE Study Guide_Neat

A {(-4, 6); (-1, 3); (0, 2)}

B {(6, -4); (3, -1); (2, 0)}

C {(4, 6); (3, 1); (2, 0)}

D {(6, -4); (-1, 3); (0, 2)}

Answer

The correct answer is B. Choice A shows three ordered pairs in the given function. Switch the x-values
with they-values to get the inverse function.

How is a Linear Function Different from Other Functions

A linear function produces, not surprisingly, the graph of a straight line. Some functions produce curves,
others make zigzag lines, and still others make v-shapes. Linear functions are one-to-one functions.

In a linear-function rule, the highest power of x is one. No higher powers of x can be used if a function is
linear. (Think about what happens when negative numbers are squared and you will begin to understand
our next chapter, quadratic functions.)

Linear Functions Nonlinear Functions

2
f(x) = x + 8 f(x) = x - 1

2
f(x) = 4x - 9 f(x) = x + 4x + 4

3
f(x) = -1/2 x + 2 f(x) = x + 1

Horizontal lines are also linear functions, although they do not an x-value. A horizontal line comes from
any equation like y = 3 or y = 6. The line crosses the y-axis at the number given and is horizontal; for any
value of x, the y-value is always the same.