9000004208
Level:
A
The domain of the part of the linear function \(g\)
graphed in the picture is \([ - 2,\infty )\).
Find the range of \(g\).
\([ - 1,\infty )\)
\(\mathbb{R}\)
\((-2,\infty )\)
\((-1,\infty )\)
Linear Functions
9000005704
Level:
A
Given the linear function \(f(x) = 5x - 3\),
solve \(f(x) = -8\).
\(- 1\)
\(- 43\)
\(- 16\)
\(11\)
9000005706
Level:
A
Let the function \(f\)
be defined as a linear function with graph passing through the points
\(A = [2,3]\) and
\(B = [-1,6]\). Find an analytic
expression for the function \(f\).
\(f(x)= -x + 5\)
\(f(x) = x + 1\)
\(f(x)= 2x - 1\)
\(f(x) = -5x + 1\)
9000005804
Level:
C
Given the linear function \(f(x) = 5x - 3\),
solve the following equation.
\[
f(x) = 5a + 2
\]
\(x = a + 1\)
\(x = a\)
\(x = a + 5\)
\(x = a - 1\)
9000005707
Level:
A
Let \(f\) be the linear
function \(f(x) = -x + 4\) restricted
to the interval \(x\in [ - 3,2] \).
Find the range of \(f\).
\([ 2,7] \)
\([ 1,6] \)
\([ - 3,3] \)
\([ - 1,2] \)
9000005805
Level:
B
Consider the linear function \(f(x) = x\).
Identify a linear function \(g\)
such that the graphs of \(f\)
and \(g\) are symmetric
about the \(x\)-axis.
\(g(x) = -x\)
\(g(x)= x\)
\(g(x) = x + 1\)
\(g(x) = x - 1\)
9000005708
Level:
A
Consider the linear function \(f(x)= -5x + 4\)
and points \(A = [1,-1]\),
\(B = [-2,-14]\),
\(C = [3,-11]\),
\(D = [-4,24]\).
How many of these points lies on the graph of the function
\(f\)?
\(3\)
\(1\)
\(2\)
\(4\)
9000005802
Level:
A
Given the linear function \(f(x) = -\frac{1}
{4}x + 4\),
evaluate
\[
f(2a)\cdot f(-2a).
\]
\(16 -\frac{a^{2}}
{4} \)
\(0\)
\(4 - a^{2}\)
\(- 4 + a^{2}\)
9000005709
Level:
A
Consider the linear function \(f(x)= -\frac{4}
{3}x + 4\).
Find the intersection point of the graph of
\(f\) with
\(x\)-axis.
\([3,0]\)
\([0,-6]\)
\([0,-4]\)
\([6,0]\)
9000005808
Level:
C
Consider the linear functions \(f(x) = x\),
\(g(x) = -x\) and
\(h(x)= 3\).
Consider also a triangle which is formed by the graphs of these three functions. Find
the area of this triangle.
\(9\)
\(3\)
\(5\)
\(7\)