Question

Help please

For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other. y-­coordinate of the y-­intercept
(the letters/cards need to be put in order form least to greatest based on y-­coordinate of the y-­intercept)

Answer 1

• C, D (-4) ⇒ E, G (0) ⇒ H (1) ⇒ A, F (3) ⇒ B(8)

Explanation:

The y-intercept is the coordinate of y at x = 0.

Let's find them all and then order.

A)

• a(0) = -2*0 + 3 = 3

B)

• b(0) = 8 as per graph

C)

• c(0) = - 4 as per graph

D)

• d(0) = 0² - 4 = - 4

E)

The point to be found after the equation of the function e(x)

We can see it is a linear function as the rate of change is constant

Use two points from the table (-1, 2) and (1, -2), find the slope:

• m = (-2 - 2)/(1 - (-1)) = -4/2 = -2

Use one point to find the y-intercept:

• y - 2 = -2(x - (-1))
• y - 2 = -2x - 2
• y = -2x

• e(x) = -2x
• e(0) = 0

F)

• f(0) = 3 as per graph

G)

• g(0) = 2(3⁰) - 2 = 2 - 2 = 0

H)

• h(0) = 1 as per table