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3 years ago

What is the domain and range of the step function with the equation below? f(x) = -3[ x ]

Mathematics

2 answers:

Step2247 [10]3 years ago

8 0

Answer:

Option C.

Step-by-step explanation:

The given function is

$f(x)=-3\left \lceil x\right \rceil$

We need to find the domain and range of the given step function.

$\left \lceil x\right \rceil$ is least integer function. The output of this function is all integers and it is defined for all values of x.

The given function is 3 times of least integer function. So, the given function f(x) is defined for all real number and outputs of the function are all integers that are multiples of 3.

Domain of f(x) = All real numbers = (-∞,∞)

Range of f(x) = All integers that are multiples of 3.

Therefore, the correct option is C.

TEA [102]3 years ago

7 0

Answer:

Step-by-step explanation:

The domain is all real numbers, and the range is all integers that are multiples of 3. This is right I took the test.

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Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings ac

dalvyx [7]

Answer:

$4,221.00 for online and 6,210.00 for the instore

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year.

Solving our equation:

A = 6700(1 + (0.042 × 15)) = 10921

A = $10,921.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.9%/100 = 0.069 per year.

Solving our equation:

A = 6000(1 + (0.069 × 15)) = 12210

A = $12,210.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.

5 0

3 years ago

Can someone help me understand this?

ASHA 777 [7]

< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.

4 0

3 years ago

Read 2 more answers

Graph the solution to the inequality 2x-3y<18

frutty [35]

<, > - dotted line

≤, ≥ - solid line

$2x-3y\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)$