Summer Algebra 4.5 (FUNCTIONS)

Is this relation a function? (2,5), (3,7), (4,9), (5,11)

Function

Is this a function? Give the domain of: x+y<4

No (-∞,∞)

Is this a function? Give the domain of: y=2x-6

Yes (-∞,∞)

Is this a function? Give the domain of: y=√x

Yes (0,∞)

Is this a function? Give the domain of: y=√4x+2

Yes [-1/2,∞)

h(x)= √(3x−14) +15 What is the domain of h?

[14/3,∞)

Find the imput: f(x)=−7x−1 f(___)=-8

1

g(r)=−1−7r g(6)

-43

h(t)=−20+11t h(11)

101

Find the imput: g(x)=2x+9 g(___) =15

3

h(t)=50− t/5 h(35)=

43

Find the imput: h(x)=x−11 h(____)=-5

6

k(x)=6x+100 k(−5)

70

Find the imput: h(x)=8x−10 h(___)=62

9

What is the domain of x? h(x)=x²-4

All real values of x such that x≠−2

Is this a function? Give the domain of: y= 2/(x-9)

Yes (-∞,9) U (9,∞)

Is this relation a function? (-12,5), (-10,3), (8,3)

function

For a given input value r, the function g outputs a value q to satisfy the following equation. 10q-3r=14 Write a formula for g(r) in terms of r.

g(r)= 1.4+3r/10

For a given input value a, the function h outputs a value b to satisfy the following equation. 3a−5=−4b+1 Write a formula for h(a) , in terms of a.

h(r)=3/2 - 3/4a

For a given input value r, the function h outputs a value q to satisfy the following equation. q−10=6(r+1) Write a formula for h(r) in terms of r.

h(r)=6r+16