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## Answers

X 2 3 4 5

f(x) 5 7 9 11

d={x/x ≥ 2}

r={y/y ≥ 5}

f(x) 5 7 9 11

d={x/x ≥ 2}

r={y/y ≥ 5}

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**f(x) = 2x+1**

**y = 2x + 1**In solving function and for the purpose of graphing, you have to find the following:

a) the roots/zeros

b) x- and y- intercepts

c) interval

d) domain and range

a) To find the roots/zeros, set y to 0:

**2x + 1 = 0**

**2x = -1**

**2x/2 = -1/2**

**∞ <x<∞}**

*x = -1/2, the solution is {-*

**∞, +∞).**

b) When x = -1/2 and y = 0

The coordinates of x-intercept is (-1/2,0)

To get y-intercept:

y = mx+b

y = 2x + 1

y - intercept = 1

The coordinates of y-intercept is (0,1)

c) This is linear function, and there is no undefined range, therefore the interval is ( -b) When x = -1/2 and y = 0

The coordinates of x-intercept is (-1/2,0)

To get y-intercept:

y = mx+b

y = 2x + 1

y - intercept = 1

The coordinates of y-intercept is (0,1)

c) This is linear function, and there is no undefined range, therefore the interval is ( -

**∈ R}**

d) The domain and range have the same interval for reason mentioned in in (c), therefore the domain and range are:

Domain (x) = {x/xd) The domain and range have the same interval for reason mentioned in in (c), therefore the domain and range are:

Domain (x) = {x/x

**∈ R}**

*Range (y) = {y/y*