Algebra 2 — Semester B Practice

Question 1 of 10

Massachusetts 5A-5CMedium Diagram

Which equation matches this exponential graph?

Ay = log₂(x)

By = x²

Cy = (1/2)ˣ (decay)

Dy = 2ˣ (growth)

Explanation

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

Question 2 of 10

Massachusetts 7A-7IEasy Diagram

How many real zeros does the polynomial graph show?

A3 real zeros

B4 real zeros

C2 real zeros

D1 real zero

Explanation

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

Question 3 of 10

Massachusetts 8A-8CMedium Diagram

Which conic section is shown?

ACircle

BParabola

CEllipse

DHyperbola

Explanation

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

Question 4 of 10

Massachusetts 7A-7IEasy Diagram

Match the end behavior to a possible polynomial.

Af(x) = x⁴ − 2x²

Bf(x) = x³ − 1

Cf(x) = x

Df(x) = −x⁴ + 1

Explanation

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

Question 5 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 6 of 10

Massachusetts 8A-8CEasy Diagram

Which conic equation does this represent?

AHyperbola

BEllipse: x²/a² + y²/b² = 1

CCircle: x² + y² = r²

DParabola

Explanation

Oval shape stretched horizontally → ellipse with horizontal major axis.

Question 7 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential growth?

ABoth

BB — curve falling toward x-axis

CNeither

DA — curve rising more steeply

Explanation

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

Question 8 of 10

Massachusetts 7A-7IMedium Diagram

The graph shown most likely belongs to which polynomial?

AOdd-degree polynomial with positive leading coefficient

BA line

COdd degree, negative leading coefficient

DEven-degree polynomial

Explanation

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

Question 9 of 10

Massachusetts 8A-8CEasy Diagram

Identify the conic.

AEllipse

BHyperbola

CCircle

DParabola

Explanation

Equal radii in all directions → a circle.

Question 10 of 10

Massachusetts 5A-5CEasy Diagram

Which graph shows exponential decay?

AB (curve falling toward x-axis)

BNeither

CBoth

DA (curve rising)

Explanation

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

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