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2 years ago

Which statement is true of the function f(x) = -3x? Select three options.

Mathematics

1 answer:

Anastasy [175]2 years ago

3 0

Answer:

The function is decreasing.

The domain is all real numbers.

The range is all real numbers.

I can't read your other options.

Step-by-step explanation:

f(x)=-3x is a linear function.

I know this because it is in the form of f(x)=mx+b.

The degree is also 1. If the degree is 1 then the polynomial is linear.

Anyways it is in the slope-intercept form of f(x)=mx+b where m is the slope and b is the y-intercept.

Comparing the following two:

f(x)=mx+b

f(x)=-3x

Tells us the slope is -3 while the y-intercept is 0.

If the slope is negative, the function decreases.

If the slope is positive, the function increases.

If the slope is 0, then it neither increases nor decreases.

So since -3 well is negative, then the function decreases.

Since linear functions are continuous and ours is either decreasing/increase (decreasing), then the function hits every x and y value so the domain and range is all real numbers.

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2 years ago

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1 year ago

Which ratio is equivalent to 4:7? *

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2 years ago

Read 2 more answers

A company that creates steering wheels for cars found that 2 of the steering wheels manufactured each hour yesterday were defect

Ymorist [56]

2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is $\frac{2}{50}$
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2 years ago

List the members of these sets.

Rina8888 [55]

<span>a.{x | x is a real number such that x^2 = 1}

x^2 = 1 => x = +/- 1

=> {-1, 1} <------ answer

b.{x | x is a positive integer less than 12}

1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer

c.{x | x is the square of an integer and x < 100}

x = n^2 < 100 => n^2 - 100 < 0

=> (n - 10) (n + 10) < 0

=> a) n - 10 > 0 and n + 10 < 0 => n > 10 and n < - 10 which is not possible

b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10

=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer

d.{x | x is an integer such that x^2 = 2} </span>

x = {∅ } because x is √2 which is not an interger but an irrational number

=> Answer: { ∅ }

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2 years ago