Kayleyidn
Answered

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how to solve f(x)=2x+1?

Sagot :

x     2 3 4 5 
f(x)  5 7 9 11 
d={x/x ≥ 2}
r={y/y ≥ 5}
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 = -1/2,  the solution is {-∞ <x<∞}

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 ( -∞, +∞).

d)  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 ∈ R}