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Take all 5 MCQs in interactive quiz mode with timer and progress tracking
The function $f$ is defined by $f(x)=7x^{3}$. In the xy-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ down 2 units. Which equation defines function $g$?
Difficulty: Medium
A:
$g(x)=\frac{7}{2}x^{3}$
B:
$g(x)=7x^{\frac{3}{2}}$
C:
$g(x)=7x^{3}+2$
D:
$g(x)=7x^{3}-2$
$x^{2}=6x+y$
$y=-6x+36$
A solution to the given system of equations is $(x,y)$. Which of the following is a possible value of $xy$?
Difficulty: Medium
A:
$0$
B:
$6$
C:
$12$
D:
$36$
The function $f$ is defined by $f(x)=270(0.1)^{x}$. What is the value of $f(0)$?
Difficulty: Medium
A:
$0$
B:
$1$
C:
$27$
D:
$270$
The function $g$ is defined by $g(x)=x^{2}+9$. For which value of $x$ is $g(x)=25$?
Difficulty: Easy
A:
$4$
B:
$5$
C:
$9$
D:
$13$
Which expression is equivalent to $5x^{2}-50xy^{2}$?
Difficulty: Easy
A:
$5x(x-10y^{2})$
B:
$5x(x-50y^{2})$
C:
$5x^{2}(10xy^{2})$
D:
$5x^{2}(50xy^{2})$
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