Common Core Standard HSF-IF.C.7 Questions

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Grade 9 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

Graph the function

$f(x) = -8x + 1$ . Identify any intercepts.

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b

Graph the following function.

$f(x) = { {:(x+8",", \ \ x<-4), ( | \ x \ |",", \ \ -4 <= x <=4), (-x+8",", \ \ x >4):}$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

This question is a part of a group with common instructions. View group »

Which of the following is correct, concerning the horizontal asymptote of the function

$f(x) ?$

The horizontal asymptote is $x=1$ .
The horizontal asymptote is $x = 7/3$ .
The horizontal asymptote is $x = -1$ .
This function has no horizontal asymptote.

Grade 12 Trigonometry CCSS: HSF-IF.C.7, HSF-IF.C.7e

When graphing any trigonometric function, the period can always be determined by the distance between successive x-intercepts.

True
False

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

Graph the following equation:

$f(x) = x^2 - 3$

Grade 9 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

Graph the function

$f(x) = 4$ . Identify any intercepts.

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b

Graph the function

$f(x) = -2 \ | -2x |$ .

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

This question is a part of a group with common instructions. View group »

Graph the function

$f(x)$ . Fully label the graph.

Grade 12 Trigonometry CCSS: HSF-IF.C.7, HSF-IF.C.7e

Graph the function

$f(x) = |sin(x)|$ . Fully label the graph.

Grade 9 Functions and Relations CCSS: HSF-IF.A.2, HSF-IF.C.7, HSF-IF.C.7e

Given

$f(x) = 3^x$ :

a. Evaluate

$f(3)$ ,

$f(2)$ , and

$f(1)$
b. Plot function f with a domain of

$-3 <= x <=2$ .
c. Indicate which axis is the asymptote.

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

Graph the function

$g(x) = x^2 + 2x + 5$ . Identify the maximum or minimum and all intercepts.

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b

Graph the following function.

$f(x) = { {:(2",", \ \ -6 <= x < -4), (- 1/4 x^2 + 6",", \ \ -4 <= x <= 2), (|x-1|+4",", \ \ 2 < x <= 6):}$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

Graph the function

$f(x) = (x^2 + x - 20)/(x^3 -9x)$ . Label the graph fully.

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

When graphing a quadratic function, it does not extend to all values of x.

True
False

Grade 9 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

For the quadratic function

$y = -2x^2-12x-10$ :
a. Transform the equation to the form

$y-k=a(x-h)^2$
b. Find the vertex
c. Find the x and y-intercepts
d. Sketch the graph

Grade 9 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

When graphing a linear function, there is always a y-intercept and an x-intercept.

True
False

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

When graphing a polynomial function of degree n, there will always be n distinct x-intercepts.

True
False

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

Graph the function

$f(x) = (x^3 - x^2 - 16x + 16)/(x^2 + 8)$ . Label the graph fully.

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

$f(x)$ is a quadratic function, which has two distinct x-intercepts when graphed, which of the following is true?

The x-value of the vertex is the average of the two x-intercepts.
The y-value of the vertex will be greater than the value of either x-intercept.
The vertex of the function will lie on the y-axis.
The x-intercepts have no special relation to the vertex.

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a

When graphing a quadratic function there is always a y-intercept.

True
False

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