On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0). determine the domain and range of the given function. the domain is . the range is .

The domain is {x|x : x ∈ R}.

The range is  {y|y: y∈R}.

Step-by-step explanation:

A domain is a set of all input values (i.e. independent variable).

A range is a set of all output values (i.e. dependent variable).

Usually independent variable are denoted as x and dependent variable as y.

Given : On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0).

Since for any straight line , there exist a unique y values to each and every x-value.

The domain and range of a straight line is given by :-

Domain= {x|x : x ∈ R}

Range = {y|y: y∈R}

Domain is (-1.5, 0, 1.5)

Range is (-2, 0)

a - base

b - exponent

so,

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week