Algebra 2 — Semester B Practice

Question 1 of 10

Massachusetts 7A-7IMedium Diagram

The graph shown most likely belongs to which polynomial?

AEven-degree polynomial

BOdd degree, negative leading coefficient

CA line

DOdd-degree polynomial with positive leading coefficient

Explanation

Left end goes up (+∞), right end goes down (−∞). That signature is odd degree, negative leading coefficient.

Question 2 of 10

Massachusetts 7A-7IEasy Diagram

Match the end behavior to a possible polynomial.

Af(x) = x³ − 1

Bf(x) = x

Cf(x) = x⁴ − 2x²

Df(x) = −x⁴ + 1

Explanation

Both ends → +∞ matches even degree with positive leading. f(x) = x⁴ − 2x² qualifies.

Question 3 of 10

Massachusetts 6M-6PEasy Diagram

For the function whose graph approaches the dashed lines, what type of function is this most likely?

AAbsolute value

BLinear function

CRational function

DPolynomial

Explanation

Both vertical and horizontal asymptotes are characteristic of rational functions where degrees of numerator and denominator are similar.

Question 4 of 10

Massachusetts 8A-8CMedium Diagram

Which conic section is shown?

AParabola

BCircle

CEllipse

DHyperbola

Explanation

Two separate branches that open left and right indicate a hyperbola with horizontal transverse axis: x²/a² − y²/b² = 1.

Question 5 of 10

Massachusetts 5A-5CMedium Diagram

Which equation matches this exponential graph?

Ay = 2ˣ (growth)

By = log₂(x)

Cy = x²

Dy = (1/2)ˣ (decay)

Explanation

Curve approaches 0 as x → −∞ and grows rapidly as x increases → exponential growth.

Question 6 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential growth?

ABoth

BB — curve falling toward x-axis

CA — curve rising more steeply

DNeither

Explanation

Growth: starts low, rises rapidly. A matches; B is decay.

Question 7 of 10

Massachusetts 8A-8CEasy Diagram

Which conic equation does this represent?

AParabola

BCircle: x² + y² = r²

CHyperbola

DEllipse: x²/a² + y²/b² = 1

Explanation

Oval shape stretched horizontally → ellipse with horizontal major axis.

Question 8 of 10

Massachusetts 7A-7IEasy Diagram

How many real zeros does the polynomial graph show?

A4 real zeros

B2 real zeros

C1 real zero

D3 real zeros

Explanation

Real zeros = where the curve crosses the x-axis. Three crossings shown.

Question 9 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential decay?

AB (curve falling toward x-axis)

BA (curve rising)

CNeither

DBoth

Explanation

Exponential decay: starts high, falls toward zero. Graph B matches; graph A is exponential growth.

Question 10 of 10

Massachusetts 8A-8CEasy Diagram

Identify the conic.

ACircle

BHyperbola

CEllipse

DParabola

Explanation

Equal radii in all directions → a circle.

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