Find domain and range with full steps in copy. Then i will mark brainest.

Problem 1

Domain = {3, -3, 7, -8}

Range = {7, -2, -5}

----------

The domain is the set of possible x inputs, while the range is the set of possible y outputs. Toss out any duplicates.

===================================================

Problem 2

Domain in words = set of all real numbers

Domain in set builder notation =

Domain in interval notation =

Range in words = set of real numbers equal to -4 or greater

Range in set builder notation =

Range in interval notation =

----------

I recommend graphing out y = 3x^2-4 to see a parabola in which we can plug in any x value without restriction. The lowest point on this graph is (0,-4) which tells us the smallest value in the range is -4. There is no largest value in the range.

The square bracket for the interval notation range is to indicate to include -4 as part of the interval. In contrast, a curved parenthesis means to exclude the endpoint.

===================================================

Problem 3

Domain in words = set of nonzero real numbers

Domain in set builder notation =

Domain in interval notation =

Range in words = set of nonzero real numbers

Range in set builder notation =

Range in interval notation =

----------

The domain and range are the same in this case. Basically x can be anything but zero since you cannot divide by zero. We can show that y = 0 is not possible if we were to find the inverse of y = 2/x getting x = 2/y, so we see that y = 0 would lead to another division by zero error. These domain and range restrictions lead to the vertical and horizontal asymptotes.

===================================================

Problem 4

Domain in words = set of real numbers equal to 3 or greater

Domain in set builder notation =

Domain in interval notation =

Range in words = set of all real numbers

Range in set builder notation =

Range in interval notation =

----------

The graph shows the left most point being (3,0). So x = 3 is the smallest x value allowed. There is no max x value assuming the graph continues on forever to the right.

Meanwhile, the range is any possible y value because the graph goes on forever up and down.

Step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.