Choose the function that represents the data in the table.

x 0 1 2 3 4 5
f(x) -3 -1 1 3 5 7

A. f(x)= 2/x-3
B. f(x)= 2x-3
C. f(x)= x^2-3
D. f(x)= 2x^2-3

  B. f(x) = 2x-3

Step-by-step explanation:

The first point in the table tells you there will be an added constant of -3. All answer choices agree on this.

The x-values are evenly spaced, so we can examine the f(x) values to see what sort of function it is. It usually works well to consider the differences of adjacent values. Here, we see they are ...

  -1 -(-3) = 2

  1 -(-1) = 2

  3 -1 = 2

  5 -3 = 2

  7 -5 = 2

All of the differences are the same value, 2, so this is a linear function. There is only one answer choice that is a linear function:

  f(x) = 2x -3

u bout ugly as   a mf

step-by-step explanation: lol

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.