Question

Match the functions to their ranges when the domain is {1, 2}. f(x) = 3x + 5 f(x) = x2 – 2x – 5 f(x) = (x + 5)x2 f(x) = 4 – x {-6, ­-5} arrowRight {8, 11} arrowRight {3, 2} arrowRight {6, 28} arrowRight

Answer 1

Answer:Given below

Explanation:

`\left ( a\right )`

`F\left ( x\right )=3x+5`

for x=1
`F\left (1\right )=8`

`x=2 F\left ( 2\right )`

and domain is {1,2}

range{8,11}

`\left ( b\right )`

`F\left ( x\right )=x^2-2x-5`

for x=1
`F\left (1\right )=-6`

x=2
`F\left ( 2\right )=-5`

range{-6,-5}

`\left ( c\right )`

`F\left ( x\right )=x^2\left ( x+5\right )`

for x=1
`F\left (1\right )=6`

for x=2
`F\left (2\right )=28`

Range{6,28}

`\left ( d\right )`

`F\left ( x\right )=4-x`

for x=1
`F\left (1\right )=3`

for x=2
`F\left (2\right )=2`

range {2,3}

Answer 2

• 3x +5 ⇒ (8, 11)
• x²-2x-5 ⇒ (-6, -5)
• (x+5)x² ⇒ (6, 28)
• 4-x ⇒ (3, 2)

Explanation:

Evaluate each function for x=1. This result will let you select the correct answer choice for each function.

To check your result, you can evaluate each function for x=2. You should get the same answer choice in each case.

I find it convenient to let a calculator do the tedious work.