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Search Results for logarithms - All Grades

97 questions match "logarithms". Refine Your Search

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Grade 9 Logarithms CCSS: HSF-BF.B.5

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

$log_x 64=3$

Grade 11 Functions and Relations

For each of the functions below, choose all of its attributes. Note:

$ln(x)$ is logarithm base

$e$ .

	Has Asymptote(s)	Domain is $RR$	Range is $RR$	Has Global or Local Max or Min
$f(x)=x$
$f(x) = x^2$
$f(x) = x^3$
$f(x) = e^x$
$f(x) = sqrt(x)$
$f(x) = 1/x$
$f(x) = ln(x)$

Grade 9 Logarithms

Use a calculator to find the value of the natural logarithm and round answer to four decimal places.

$ln 1.44$

Grade 9 Exponents CCSS: HSN-RN.A.1

Starting with the variable x, raise x to the power of 4. Which of the following represents an inverse operation? Choose all correct answers.

Dividing the expression by 4.
Taking the base-4 logarithm of the expression.
Taking the 4th root.
Raising the entire expression to the power of 1/4.

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

Which of the following statements is true regarding the logarithmic function f(x) = log base b (x)?

It is an even function
It is an odd function
It is neither an even nor an odd function
It can be both an even and an odd function, depending on the value of b

Grade 8 Function and Algebra Concepts

What is the relationship between the growth rate and the time in an exponential function?

The growth rate is proportional to the time
The growth rate is proportional to the exponential of the time
The growth rate is inversely proportional to the time
The growth rate is proportional to the logarithm of the time

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

What is the relationship between the growth rate and the time in an exponential function?

The growth rate is proportional to the time
The growth rate is proportional to the exponential of the time
The growth rate is inversely proportional to the time
The growth rate is proportional to the logarithm of the time

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

Which of the following transformations will result in a horizontal shift 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 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 12 Physics

In a first-order reaction, ln[A] represents .

ln[A] is an increase in concentration at time 0.
ln[A] is a decrease in concentration at time 0.
ln[A] is the natural logarithm of the concentration of the reactant at time t.
ln[A] is a rate constant

Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4

What is a piecewise function?

A function that is defined by multiple equations over different intervals
A function that is defined by a single equation over the entire domain
A function that is defined by a square root
A function that is defined by a logarithm

Grade 9 Logarithms CCSS: HSF-BF.B.3

Write the equation of a logarithmic function that is reflected over the x-axis and translated two units to the left and three units above the parent function

$f(x)=lnx$ .

$g(x)=3-ln(x)+2$
$g(x)=3+ln(x)-2$
$g(x)=3-ln(x+2)$
$g(x)=-3+ln(x-2)$

Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c

Given the graph below of the logarithmic function

$f(x)$ , what is the approximate value of

$f^{-1}(0.5) ?$ Assume that the scale on the x- and y-axes is one unit.

3
0
0.5
This value does not exist.

Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c

Let

$f(x)$ be the logarithmic function in the graph below. Using the information in the graph, what is the approximate value of

$f^{-1}(3) ?$ Assume that the scale on the x- and y-axes is one unit.

Not enough information given in the graph to determine this value.
This value does not exist.
0.5
0.01

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

The graph of a logarithmic function of the form

$f(x) = a*log_n(bx + c) + d$ , where

$a,b,c,d in RR$ and

${n in RR | n>0 " and " n!=1}$ , always has a vertical asymptote.

True
False

Grade 11 Functions and Relations CCSS: HSF-IF.C.9

$f(x)$ is the function in the graph below, and some of the values of the logarithmic function

$g(x)$ are listed in the table below, approximately for what values of

$x$ is

$g(x) > f(x) ?$ For the graph, assume that the scale of both axes is one unit.

Graph - Exponent Function y=2^x

$\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \ \ \ \mathbf{g(x)} \ \ \ \ \ \ \ \ \ \$
$-3.75$	$-2.7$
$-3.5$	$-0.9$
$-3.25$	$-0.3$
$-3$	$0.1$
$-2.5$	$0.6$
$-2$	$0.9$
$-1.5$	$1.1$
$-1$	$1.3$
$0$	$1.6$
$1$	$1.9$
$2$	$2.1$
$3$	$2.2$
$4$	$2.4$

$g(x)$ is never greater than $f(x)$ .
$x>1$
$x > -4$
$-3 < x < 1$

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