Section 3.2 – Domain & Range

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Presentation transcript:

Section 3.2 – Domain & Range

Find Domain of Formula ***For our purposes….. The domain of a function is the set of all real numbers that do NOT give a zero in the denominator or a negative under an even root. Dom: Dom:

Find Domain of Formula Find the domain of the function. Dom: Dom:

Find Domain of Formula Find the domain of the function. Dom: Dom:

Domain & Range from Graph **Domain: input values - Left to Right **Range: output values - Lowest to Highest Determine the domain and range of the function. Ex 11: Dom: Rng: −2<𝑥<1 <𝑥< −2≤𝑥≤1 Ex 10: Dom: Rng: −3<𝑥<5 <𝑥< −3≤𝑥<5 [−2, 1] [−1, 4] −3, 5 [−4, 1) <𝑦< <𝑦< −4≤𝑦<1 −1<𝑦<4 −1≤𝑦≤4 −4<𝑦<1

Domain & Range from Graph Determine the domain and range of the function. Ex 12: Dom: Rng: Ex 13: Dom: Rng: −2<𝑥<4 <𝑥< −∞<𝑥<∞ <𝑥< (−∞, ∞) [−3, ∞) −2≤𝑥≤4 [−2, 4] {4} −3<𝑦<∞ <𝑦< −3≤𝑦<∞ <𝑦< 4<𝑦<4 4≤𝑦≤4

Domain & Range of Basic Functions Range: {c}

Domain & Range of Basic Functions

Domain & Range of Basic Functions

Domain & Range of Basic Functions

Domain & Range of Basic Functions

Domain & Range of Basic Functions

Domain & Range of Basic Functions (−∞, 0)∪(0,∞) Range: 𝑦≠0

Domain & Range of Basic Functions (−∞, 0)∪(0,∞) Range: (0,∞)

Domain & Range of Basic Functions

Evaluate Piecewise Functions For each piecewise function, find the specified function values.

Evaluate Piecewise Functions Ex 15: Find the indicated value of the piecewise function pictured to the right. Identify the domain and range. Domain: (−∞, ∞) Range: (2, ∞)

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Graph Piecewise Functions Domain: (−∞, ∞) Range: (−∞, 10)