5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 8, 2018 13:46

64 STEP 4. Review the Knowledge You Need to Score High

0

y = tan x

x

y

− 2 π −1. 5π − 1 π−0.5π 0.5π 1 π 1. 5π 2 π

Domain: {all x ≠ ± , ± ,.. .}

Range: {−∞ < y < ∞}

Frequency: 1 Period: π

π

2

3 π

2

Figure 5.3-13

−0.5π

0

y = tan−^1 x

x

y

− 3 − 2 − 1123

0.5π

Domain: {−∞ < x < ∞}

Range: {−π/2 < y < π/2}

Figure 5.3-14

− 1

0

y = sec x

x

y

− 2 π −1. 5π − 1 π −0.5π 0.5π 1 π 1. 5π 2 π

1

Domain: {all x ≠ ± , ± ,.. .}

Range: {y ≤ –1 and y ≥ 1}

Frequency: 1 Period: 2π

π

2

3 π

2

Figure 5.3-15

0

y = sec−^1 x

x

y

− 3 − 2 − 1123

π

Domain: {x ≤ −1 or x ≥ 1}

Range: {0 ≤ y ≤ π, y ≠ π 2 }

π

2

Figure 5.3-16

− 1

0

y = csc x

x

y

− 2 π −1. 5π − 1 π −0.5π 0.5π 1 π 1. 5π 2 π

1

Domain: {all x ≠ 0, ±π, ± 2 π}

Range: {y ≤ −1 and y ≥ 1}

Frequency: 1 Period: 2π

Figure 5.3-17

0

y = csc−^1 x

x

y

− 3 − 2 − 1123

Domain: {x ≤ −1 or x ≥ 1}

Range: { ≤ y ≤ , y ≠ 0}

π

2

π

2

−π

2

−π

2

Figure 5.3-18