1.2 Domain of Functions Mon Sept 15 Do Now Find the domain of each function 1) 2)

HW Review: p.70 # ) sqrt10 41) sqrt45 43) sqrt ) 3 47) ) ) (x-2)^2 + (y-3)^2 = 25/9

) (x + 1)^2 + (y - 4)^2 = 25 75) (x - 2)^2 + (y - 1)^2 = ) (x + 2)^2 + (y - 3)^2 = 4 79) (0,0); 2 81) (0, 3); 4 83) (1, 5); 6 85) (-4, -5); 3 87) (x + 2)^2 + (y – 1)^2 = 9 89) (x – 5)^2 + (y + 5)^2 = 225

Do Now Find the domain of

Domain and Functions The domain of a function is the set of all inputs for which the function is defined as a real number The domain of a function can be written using inequalities or interval notation – When using more than one interval, use the union symbol (U) to join them

Common domain restrictions The following are types of functions that typically have restrictions in the domain: – Rational functions – Even root functions – Logarithmic functions – Trigonometric functions (sec, csc, tan, cot)

Ex Find the domain of each function using interval notation 1) 2) 3) 4)

Range of functions The range is the set of outputs in a function When considering the range, you must first consider the domain Looking at a function’s graph can be helpful

Ex Find the domain and range of each function 1) 2) 3) 4)

Closure What is the domain and range of a function? How can you determine the domain/range? HW: p #43-51 odds odds