PLZ HELP!
What is the domain and range for the function graphed to
the left?

Domain: (-∞, ∞)

Range: (-∞, -3]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.

We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.

Step-by-step explanation: The range of a function

is the set of all y values of the function.

The y values on a coordinate system are the up and down values.

Our parabola is expanding infinitely downwards but

it never goes above the y value of -3.

So we say that the range of this function is {y: y ≤ -3}.

The domain is the set of all x values or left and right values.

Since it's expanding infinitely to the left and right,

we say that the domain is the set of all real numbers or R.

irrational, cannot

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.