Consider the function $$h\left(x\right)=\sqrt[]{12-x}$$ . Which of the following is true?

The domain is $$\left(-\infty,12\right]$$

The domain is $$\left[12,\infty\right)$$

The range is $$\left[12,\infty\right)$$

The range is $$\left(-\infty,12\right]$$

The domain is $$\left(-\infty,-12\right]$$

Consider the relation shown. Which of the following statements is true?

The relation is not a function because a vertical line would cross the graph more than once.

The relation is not a function because a horizontal line would cross the graph more than once.

The relation is a function because it passes the vertical line test.

The relation is a one-to-one function because it passes both the vertical and horizontal line test.

The relation is a function, but it is not a one-to-one function.

What is the domain and range of the relation $$f\left(x\right)=\sqrt[]{x+1}-8$$ ?

D: $$\left[-1,\infty\right)$$ R: $$\left[-8,\infty\right)$$

D: $$\left[-8,\infty\right)$$ R: $$\left[-1,\infty\right)$$

D: $$\left(-\infty,1\right]$$ R: $$\left(-\infty,-8\right]$$

D: $$\left[1,\infty\right)$$ R: $$\left[-8,\infty\right)$$

D: $$\left(-\infty-1\right]$$ R: $$\left(-\infty,-8\right]$$

Are the following function inverses of one another: $$f\left(x\right)=5x+11$$ and $$g\left(x\right)=\frac{x-11}{5}$$ ?

yes, because $$f\left(g\left(x\right)\right)=x\ and\ g\left(f\left(x\right)\right)=x$$

no, the inverse of $$f\left(x\right)=5x+11$$ should be $$f^{-1}\left(x\right)=11x-5$$

no, the inverse of $$g\left(x\right)=\frac{x-11}{5}$$ should be $$g^{-1}\left(x\right)=\frac{x+5}{11}$$

no, neither of these have an inverse

Consider the equation $$2x^2-8x=5$$ . What would be the first step to solve this using the completing the square method?

Divide both sides of the equation by 2

Add 4 to both sides of the equation

Add 16 to both sides of the equation

Subtract 5 from both sides of the equation

Jan 24 Math Review

Authored by CHRISTOPHER CAVIN

Mathematics

9th - 12th Grade

CCSS covered

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One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane. Which one is it?

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