1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter3: Graphs And Functions
3.1 Graph Linear Equations In Two Variables 3.2 Slope Of A Line 3.3 Find The Equation Of A Line 3.4 Graph Linear Inequalities In Two Variables 3.5 Relations And Functions 3.6 Graphs Of Functions Chapter Questions Section3.5: Relations And Functions
Problem 3.83TI: For the relation {(1,1),(2,8),(3,27),(4,64),(5,125)} : (a) Find the domain of the relation. (b) Find... Problem 3.84TI: For the relation {(1,3),(2,6),(3,9),(4,12),(5,15)} : (a) Find the domain of the relation. (b) Find... Problem 3.85TI: Use the mapping of the relation shown to (a) list the ordered pairs of the relation (b) find the... Problem 3.86TI: Use the mapping of the relation shown to (a) list the ordered pairs of the relation (b) find the... Problem 3.87TI: Use the graph of the relation to (a) list the ordered pairs of the relation (b) find the domain of... Problem 3.88TI: Use the graph of the relation to (a) list the ordered pairs of the relation (b) find the domain of... Problem 3.89TI: Use the set of ordered pairs to (i) determine whether the relation is a function (ii) find the... Problem 3.90TI: Use the set of ordered pairs to (i) determine whether the relation is a function (ii) find the... Problem 3.91TI: Use the mapping to (a) determine whether the relation is a function (b) find the domain of the... Problem 3.92TI: Use the mapping to (a) determine whether the relation is a function (b) find the domain of the... Problem 3.93TI: Determine whether each equation is a function. (a) 4x+y=3 (b) x+y2=1 (c) yx2=2 Problem 3.94TI: Determine whether each equation is a function. (a) x+y2=4 (b) y=x27 (c) y=5x4 Problem 3.95TI: For the function f(x)=3x22x+1 , evaluate the function. (a) f(3) (b) f(1) (c) f(t) Problem 3.96TI: For the function f(x)=2x2+4x3 , evaluate the function. (a)f(2) (b)f(3) (c)f(h) Problem 3.97TI: For the function g(x)=4x7 , evaluate the function. (a) g(m2) (b) g(x3) (c) g(x)g(3) Problem 3.98TI: For the function h(x)=2x+1 , evaluate the function. (a) h(k2) (b) h(x+1) (c) h(x)+h(1) Problem 3.99TI: The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day.... Problem 3.100TI: The number of unread emails in Anthony’s account is 110. This number grows by 25 unread emails a... Problem 283E: In the following exercises, for each relation (a) find the domain of the relation (b) find the range... Problem 284E: In the following exercises, for each relation (a) find the domain of the relation (b) find the range... Problem 285E: In the following exercises, for each relation (a) find the domain of the relation (b) find the range... Problem 286E: In the following exercises, for each relation (a) find the domain of the relation (b) find the range... Problem 287E: In the following exercises, use the mapping of the relation to (a) list the ordered pairs of the... Problem 288E: In the following exercises, use the mapping of the relation to (a) list the ordered pairs of the... Problem 289E: In the following exercises, use the mapping of the relation to (a) list the ordered pairs of the... Problem 290E: In the following exercises, use the mapping of the relation to (a) list the ordered pairs of the... Problem 291E: In the following exercises, use the graph of the relation to (a) list the ordered pairs of the... Problem 292E: In the following exercises, use the graph of the relation to (a) list the ordered pairs of the... Problem 293E: In the following exercises, use the graph of the relation to (a) list the ordered pairs of the... Problem 294E: In the following exercises, use the graph of the relation to (a) list the ordered pairs of the... Problem 295E: In the following exercises, use the set of ordered pairs to (a) determine whether the relation is a... Problem 296E: In the following exercises, use the set of ordered pairs to (a) determine whether the relation is a... Problem 297E: In the following exercises, use the set of ordered pairs to (a) determine whether the relation is a... Problem 298E: In the following exercises, use the set of ordered pairs to (a) determine whether the relation is a... Problem 299E: In the following exercises, use the mapping to (a) determine whether the relation is a function, (b)... Problem 300E: In the following exercises, use the mapping to (a) determine whether the relation is a function, (b)... Problem 301E: In the following exercises, use the mapping to (a) determine whether the relation is a function, (b)... Problem 302E: In the following exercises, use the mapping to (a) determine whether the relation is a function, (b)... Problem 303E: In the following exercises, determine whether each equation is a function. 303. (a) 2x+y=3 (b) y=x2... Problem 304E: In the following exercises, determine whether each equation is a function. 304. (a) y=3x5 (b) y=x3... Problem 305E: In the following exercises, determine whether each equation is a function. 305. (a) y3x3=2 (b)... Problem 306E: In the following exercises, determine whether each equation is a function. 306. (a) 2x4y=8 (b) 4=x2y... Problem 307E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 307. f(x)=5x3 Problem 308E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 308. f(x)=3x+4 Problem 309E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 309. f(x)=4x+2 Problem 310E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 310. f(x)=6x3 Problem 311E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 311. f(x)=x2x+3 Problem 312E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 312. f(x)=x2+x2 Problem 313E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 313. f(x)=2x2x+3 Problem 314E: In the following exercises, evaluate the function: (a) f(2)(b) f(1)(c) f(a). 314. f(x)=3x2+x2 Problem 315E: In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 315. g(x)=2x+1 Problem 316E: In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 316. g(x)=5x8 Problem 317E: In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 317. g(x)=3x2 Problem 318E: In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 318. g(x)=8x+2 Problem 319E: In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 319. g(x)=3x Problem 320E: ?y13In the following exercises, evaluate the function: (a) g(h2)(b) g(x+2)(c) g(x)+g(2). 320.... Problem 321E: In the following exercises, evaluate the function. 321. f(x)=3x25x;f(2) Problem 322E: In the following exercises, evaluate the function. 322. g(x)=4x23x;g(3) Problem 323E: In the following exercises, evaluate the function. 323. F(x)=2x23x+1;F(1) Problem 324E: In the following exercises, evaluate the function. 324. G(x)=3x25x+2;G(2) Problem 325E: In the following exercises, evaluate the function. 325. h(t)=2|t5|+4;f(4) Problem 326E: In the following exercises, evaluate the function. 326. h(y)=3|y1|3;h(4) Problem 327E: In the following exercises, evaluate the function. 327. f(x)=x+2x1;f(2) Problem 328E: In the following exercises, evaluate the function. 328. g(x)=x2x+2;g(4) Problem 329E: In the following exercises, solve. 329. The number of unwatched shows in Sylvia’s DVR is 85. This... Problem 330E: In the following exercises, solve. 330. Every day a new puzzle is downloaded into Ken’s account.... Problem 331E: In the following exercises, solve. 331. The daily cost to the printing company to print a book is... Problem 332E: In the following exercises, solve. 332. The daily cost to the manufacturing company is modeled by... Problem 333E: In your own words, explain the difference betweena relation and a function. Problem 334E: In your own words, explain what is meant by domain and range. Problem 335E: Is every relation a function? Is every function a relation? Problem 336E: How do you find the value of a function? Problem 3.96TI: For the function f(x)=2x2+4x3 , evaluate the function. (a)f(2) (b)f(3) (c)f(h)
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express the function as a piecewise function
Transcribed Image Text: For the function: y =
x-7
, express the function as a simplified piecewise
3r- 21||
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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