PARCC Algebra I Interpreting Functions Practice

Interpreting Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

8 free questions · 0/0 correct

Practice playeasy

The function $f$ is defined by $f(x) = 7x - 4$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = 7(3) - 4 = 21 - 4 = 17$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{2x + 1}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{2(4) + 1} = \sqrt{9} = 3$ .

Practice playeasy

For the function $p$ , $p(0) = 200$ . For each increase in $x$ by $1$ , the value of $p(x)$ decreases by $10\%$ . What is the value of $p(2)$ ?

Each step multiplies by $0.90$ . So $p(2) = 200 \cdot 0.90^2 = 200 \cdot 0.81 = 162$ .

Practice playeasy

$g = 9 - \dfrac{m}{4}$

The equation shown gives the estimated amount of paint $g\textsf{,}$ in gallons, remaining after covering $m$ square meters of wall, where $0 \le m \le 36\textsf{.}$ What is the estimated amount of paint, in gallons, remaining after covering $12$ square meters of wall?

Substitute $m = 12\textsf{:}$ $g = 9 - \dfrac{12}{4} = 9 - 3 = 6\textsf{.}$ The estimated amount remaining is $6$ gallons.

Practice playmedium

At what $x$ -value does the graph of $y = 3(x - 5)^2(x + 8)$ intercept the $x$ -axis?

Set $y = 0$ : $3(x - 5)^2(x + 8) = 0$ . The constant $3 \neq 0$ , so the zeros are $x = 5$ (from the repeated factor) and $x = -8$ . Among the choices, only $5$ is an x-coordinate of an x-intercept.

Practice playmedium

The function $h$ is defined by $h(t) = -16t^{2} + 64t + 5$ . The function models the height, in feet, of a baseball $t$ seconds after it is hit. Which of the following is the best interpretation of the statement " $h(2)$ is equal to $69$ " in this context?

In this model, $t$ is seconds after the ball is hit and $h(t)$ is height in feet. So $h(2) = 69$ means that $2$ seconds after the ball is hit, its height is $69$ feet.

Practice playeasy

A warehouse tracks inventory with $I(t) = -2t^2 + 6t + 85$ , where $I(t)$ is the number of units on hand $t$ weeks after a shipment arrives. According to the model, how many units were on hand when the shipment arrived?

When the shipment arrived, $t = 0$ . So $I(0) = -2(0)^2 + 6(0) + 85 = 85$ units.

Practice playeasy

$f(x) = (x - 2)^2 + 10$

The function $f$ is defined by the given equation. For what value of $x$ does $f(x)$ reach its minimum?

The equation is in vertex form $f(x) = a(x - h)^2 + k$ with $a = 1 > 0$ , so the graph opens upward and the minimum occurs at the vertex. Here $h = 2$ , so the vertex is at $x = 2$ . Therefore, $f(x)$ reaches its minimum when $x = 2$ .

PARCC Algebra I Interpreting Functions. Practice it free.

Interpreting Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Topics mapped to this domain

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Factored polynomial x-intercepts (SAT)

Interpreting function values in context

Quadratic function word problems (ACT)

Quadratic minimum from vertex form

Quadratic minimum x-value

Recursive sequence nth term (ACT)

Slope-intercept intercepts (SAT/PSAT 8/9/10)

8 free questions · 0/0 correct

Turn interpreting functions into game time.

More Algebra I domains