Exercises

Determine if a Relation is a Function

In the following exercises, use the set of ordered pairs to a. determine whether the relation is a function, b. find the domain of the relation, and c. find the range of the relation.

295. \{(-3,9),(-2,4),(-1,1)</p> <p>(0,0),(1,1),(2,4),(3,9)\}

297. \{(-3,27),(-2,8),(-1,1)</p> <p>(0,0),(1,1),(2,8),(3,27)\}


In the following exercises, use the mapping to a. determine whether the relation is a function, b. find the domain of the function, and c. find the range of the function.

299.

301.


In the following exercises, determine whether each equation is a function.

303.

a. 2 x+y=-3

b. y=x^{2}

c. x+y^{2}=-5


305.

a. y-3 x^{3}=2

b. x+y^{2}=3

c. 3 x-2 y=6


Find the Value of a Function

In the following exercises, evaluate the function: a. f(2) b. f(-1) c. f(a).

307. f(x)=5 x-3

309. f(x)=-4 x+2

311. f(x)=x^{2}-x+3

313. f(x)=2 x^{2}-x+3


In the following exercises, evaluate the function: a. g\left(h^{2}\right) b. g(x+2) c. g(x)+g(2).

315. g(x)=2 x+1

317. g(x)=-3 x-2

319. g(x)=3-x


In the following exercises, evaluate the function.

321. f(x)=3 x^{2}-5 x ; f(2)

323. F(x)=2 x^{2}-3 x+1; F(-1)

325. h(t)=2|t-5|+4 ; h(-4)

327. f(x)=\frac{x+2}{x-1} ; f(2)

Source: Rice University, https://openstax.org/books/intermediate-algebra-2e/pages/3-5-relations-and-functions
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