Precalculus with CalcChat and CalcView

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GRAPHS OF PARENT FUNCTIONS
Linear Function Absolute Value Function Square Root Function
f(x)=mx+b f (x)=∣
x∣
={
x,
−x,
x ≥0
x
<0

f(x)=√x
x
y
(0, b)
b
m( (− , 0
b
m( (− , 0
f(x) = mx + b,
m > 0
f(x) = mx + b,
m < 0
x
y
−1−22
−1
−2
1
2
(0, 0)
f(x) = ⎮x⎮
x
y
−1 234
−1
1
2
3
4 (0, 0)
f(x) = x
Domain: (−∞, ∞) Domain: (−∞, ∞) Domain: [0, ∞)
Range (m≠0): (−∞, ∞) Range: [0, ∞) Range: [0, ∞)
x-intercept:(−bcm, 0) Intercept: (0, 0) Intercept: (0, 0)
y-intercept:(0, b) Decreasing on (−∞, 0) Increasing on (0, ∞)
Increasing when m >0 Increasing on (0, ∞)
Decreasing when m <0 Even function
y-axis symmetry
Greatest Integer Function Quadratic (Squaring) Function Cubic Function
f(x)=⟨x⟩

f(x)=ax
2
f(x)=x
3
x
y
1−1−2−3 23
−3