Question

identifying the graphs of linear quadratic cubic and reciprocal functions​

Answer 1

Answer:

Graphs provide visualization of curves and functions. Hence, graphs help a lot in understanding the concepts in a much efficient way.

In this section, we will be discussing about the identification of some of the functions through their graphs. In particular, we discuss graphs of Linear, Quadratic, Cubic and Reciprocal functions.

1. Linear Function

A function f : R → R defined by f (x) = mx + c , m ≠ 0 is called a linear function. Geometrically this represents a straight line in the graph.

Some Specific Linear Functions and their graphs are given below.

fig .1

2. Modulus or Absolute valued Function

f : R → [0, ∞) defined by f (x) =| x |

fig .2

3. Quadratic Function

A function f : R → R defined by f (x) = ax2 + bx + c, (a ≠ 0) is called a quadratic function

Some specific quadratic functions and their graphs

fig.3

4. Cubic Function

A function f : R → R defined by f (x) = ax3 + bx2 + cx + d,(a ≠ 0) is called a cubic function. The graph of f (x) = x3 is shown in

Fig.4

5. Reciprocal Function

A function f : R − {0} → R defined by f (x) = 1/x is called a reciprocal function

fig .5

6. Constant Function

A function f : R → R defined by f (x) = c, for all x ∈ R is called a constant function (Fig