Mary Jane Sterling - Algebra II - 1001 Practice Problems For Dummies (+ Free Online Practice)

209. Through (4, 3) and perpendicular to the x -axis

210. Through (3, –5) and perpendicular to the y -axis

211–220 Write an equation of the line with the given point and slope.

211. Through (3, –1);

212. Through (3, –1);

213. Through (3, –1);

214. Through (3, –1);

215. Through (3, –1);

216. Through (3, –1);

217. Through (3, –1);

218. Through (3, –1);

219. Through (3, –1);

220. Through (3, –1); m is undefined

221–228 Write an equation of the line through the two points.

221. (3, –2) and (4, 2)

222. (–5, 1) and (–3, 7)

223. (4, –3) and (1, 6)

224. (–2, –3) and (3, 4)

225. (5, 6) and (–1, 12)

226. (–3, 5) and (4, –4)

227. (6, 3) and (6, –8)

228. (4, –2) and (5, –2)

229–234 Write an equation of the line parallel to the given line through the point.

229. Parallel to through (1, 1)

230. Parallel to through (2, 3)

231. Parallel to through (3, 0)

232. Parallel to through (0, 5)

233. Parallel to through (4, 8)

234. Parallel to through (4, –7)

235–240 Write an equation of the line perpendicular to the given line through the point.

235. Perpendicular to through (2, 3)

236. Perpendicular to through (10, –7)

237. Perpendicular to through (–2, 3)

238. Perpendicular to through (–9, –1)

239. Perpendicular to through (–6, 2)

240. Perpendicular to through (5, –3)

Chapter 5

A function is a relationship in which there is exactly one output value for each input value. The functions used in algebra incorporate all sorts of operations — from addition and subtraction to absolute value and factorial. Functions might be restricted as to their input values; the input values constitute the domain . And a function may have a limited number of output values (its range ) due to the way the operations are performed on the input values.

In this chapter, you’ll work with functions in the following ways:

Determining the domain and range from the function equation

Recognizing odd and even functions

Categorizing some functions as one-to-one

Performing function composition

Finding inverses of functions

Working with piecewise functions

Don’t let common mistakes trip you up; watch for the following when working with functions:

Making the correct exclusions in the domains of functions that have radicals or fractions in their function rule

Distributing factors correctly when performing function compositions

Squaring and cubing binomials correctly when performing function compositions

Working through the correct steps when solving for a function’s inverse

241–250 Find the domain and range of the function.

241.

242.

243.

244.

245.

246.

247.