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3 years ago

Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

Hey there! I'm happy to help!

A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)

The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.

Have a wonderful day and keep learning! :D

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3 years ago

Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)

Dmitrij [34]

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

= 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

= 4x - 1

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1 year ago

For her college fund jenny's parents invested $5000 four years ago. the account has now reached $6312. what is the approximate a

Tasya [4]

Answer:

Rate = 6.56%

Step-by-step explanation:

Principal (P) = $5000

Interest (I) = $6312

Time (T) = 4 years

Rate (r) = ?

This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.

S.I = P(1 + rt)

S.I = simple interest

P = principal

R = Rate

T = Time

6312 = 5000(1 + r*4)

6312 = 5000 + 5000*4r

6312 - 5000 = 20000r

1312 = 20000r

r = 1312 / 20000

r = 0.0656

Rate are calculated in percentage hence we'll multiply it by 100

R = 6.56%

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3 years ago

QUESTION 1 - 1 POINT

guajiro [1.7K]

Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

y > − 5/2x − 5

(anything in shaded region)

8 0

2 years ago