If the range of the function f(x) = 4x – 3 is {11.4, 15, 17, 29}, what is its domain?

2 answers:

5 0

The range is the y-component of the function

the function looks like it just consists of 4 points which have y-coordinates of 11.4, 15,17, and 29

so in order to find domain (x-component of the function), you just substitute each y value, and find the corresponding x-value

11.4 =4x -3
14.4=4x
x=14.4/4

15=4x-3
18=4x
x= 18/4

etc etc

Temka [501]3 years ago

5 0

Range is the output

basically
f(x)=range
just solve for the values of x that make them true

just solve
4x-3=11.4
4x-3=15
4x-3=17
4x-3=29
those values aer the domain

solving each
add 3 to both sides
4x=14.4
4x=18
4x=20
4x=32

divide both sides by 4

x=3.6
x=4.5
x=5
x=8

the domain is D={3.6, 4.5, 5, 8}

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Anika [276]

Answer:

Rises to the left and rises to the right.

Step-by-step explanation:

Since, the given function is f(x)= $2x^{4}+x^{3}$ , and the end behavior of the given function is determined as:

Consider the given function f(x)= $2x^{4}+x^{3}$ , identify the degree of the function:

The degree of the function is : 4 which is even

And then identify the leading coefficient of the given function that is +2 which is positive in nature.

Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.