NY-F.IF.4-AII

Algebra IIInterpreting Functions60 target questions

For a function that models a relationship between two quantities interpret key features of graphs and tables and sketch graphs showing key features. Apply to polynomial rational exponential logarithmic and trigonometric functions.

Sample Practice Questions (3)

The graph of a polynomial function,

p (x)

, is shown below. Based on the graph, which statement about the function is true?

AThe function has a relative maximum at

(2, 0)

and the leading coefficient is positive.

BThe function has zeros at

x = - 3

x = 0

, and

x = 2

, and the leading coefficient is positive.

CThe function has zeros at

x = - 3

x = 0

, and

x = 2

, and the leading coefficient is negative.

DThe function has a relative minimum at

x = 0

and the degree is even.

The graph of a quadratic function

q (x)

has a vertex at

(3, - 4)

and passes through the point

(5, 0)

. Over which interval is the function increasing?

(- \infty, 3)

(3, \infty)

(- 4, \infty)

(- \infty, - 4)

The graph of the rational function

h (x) = \frac{x ^{2} - 9}{x - 3}

is shown below. Which statement best describes the key features of this graph?

AThe graph has a vertical asymptote at

x = 3

BThe graph is a line with a hole at

(3, 6)

CThe graph has an x-intercept at

x = 3

and

x = - 3

DThe graph has a horizontal asymptote at

y = 1

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