Common Core Standard HSF-IF.C.7d Questions

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

When graphed, the function

$f(x) = (x^3 + x^2 -10x + 8)/(x^2-3)$ has a slant or oblique asymptote. What is the equation of this asymptote?

$y=-7x+11$
$y=x+1$
$y=x - 8/3$
$y = -10x + 8$

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which of the following is the equivalent form of log7 1/49?

-2
2
1/2
-1/2

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which of the following is the equation of an exponential decay function?

y = 4(2)^x
y = 2x^2
y = 6(1/2)^x
y = 1/x

Grade 12 Logarithms CCSS: HSF-IF.C.7d

What is the value of e^ln(x)?

x
ln(x)
e
Undefined

Grade 12 Logarithms CCSS: HSF-IF.C.7d

Which of the following transformations will result in a vertical stretch of the graph of the logarithmic function f(x) = log base b (x)?

f(x) → f(2x)
f(x) → f(x + 2)
f(x) → f(x - 2)
f(x) → 2log base b (x)

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

Determine the end behavior of the function

$y→3$
$y→1$
$y→2$
$y→0$

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

Identify the vertical asymptotes of the function

$x=3$
$x=-3$
$x=±3$
$x=0$

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

Identify the x-intercepts and y-intercepts of the function X-intercepts:

X-intercepts: $x=−4,4$ ; Y-intercept: $y=−4$
X-intercepts: $x=4$ ; Y-intercept: $y=−4$
X-intercepts: $x=-4,4$ ; Y-intercept: $y=4$
X-intercepts: $x=4$ ; Y-intercept: $y=4$

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 »

What are the zeros of

$p(x) ?$ Choose all correct answers.

1
-1
-7
4

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which of the following is the equivalent form of log3 27 - log3 9?

log3(27/9)
log3 3
log3 6
log3 3^2

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

What is the horizontal asymptote of the function y = 2(1/3)^x?

y = 0
y = 1
y = 0 as x approaches infinity
y = 2

Grade 12 Logarithms CCSS: HSF-IF.C.7d

What is the domain of the function f(x) = ln(x)?

(-∞,0)
[0,∞)
(0,∞)
(-∞,∞)

Grade 12 Logarithms CCSS: HSF-IF.C.7d

If you borrow $5000 at a 6% annual interest rate compounded quarterly for 3 years, what is the total amount owed at the end of the term?

$5550.00
$5756.25
$6132.84
$6234.55

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

Identify the zeros, vertical asymptotes, and end behavior of the function

Zeros: $x=1,3$ ; Vertical Asymptotes: $x=±3$ ; End Behavior: $y→0 as x→∞$
Zeros: $x=1,3$ ; Vertical Asymptotes: $x=±3$ ; End Behavior: $y→1 as x→∞$
Zeros: $x=1,3$ ; Vertical Asymptotes: $x=±3$ ; End Behavior: $y→-1 as x→∞$
Zeros: $x=1,3$ ; Vertical Asymptotes: $x=±3$ ; End Behavior: $y→2 as x→∞$

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

Identify the horizontal asymptote of the function

$y=1/2$
$y=1$
$y=2$
No horizontal asymptote

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 »

What are the zeros of

$q(x) ?$ Choose all correct answers.

-3
-1
1
5

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which property of logarithms states that the logarithm of a number to its own base is equal to 1?

Product property
Quotient property
Power property
Identity property

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which of the following statements is true for exponential functions?

They always have a constant rate of change.
They always have a linear graph.
They can model growth or decay.
They can only be written in logarithmic form.

Grade 12 Logarithms CCSS: HSF-IF.C.7d

What is the range of the function f(x) = ln(x)?

(-∞,0)
(-∞,∞)
[0,∞)
(0,∞)

Grade 12 Logarithms CCSS: HSF-IF.C.7d

How often is interest compounded in continuous compounding?

Daily
Weekly
Monthly
Continuously

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Common Core Standard HSF-IF.C.7d Questions

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