0. Functions

Common Functions

0. Functions

Common Functions

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Multiple Choice

Identify the ordered pair of the vertex of the parabola. State whether it is a minimum or maximum.

$\left(-3,-2\right);$ maximum

$\left(-3,-2\right);$ minimum

$\left(-1,2\right);$ maximum

$\left(-1,2\right);$ minimum

Verified step by step guidance

Observe the graph of the parabola. It opens upwards, indicating that the vertex is a minimum point.

Identify the vertex of the parabola on the graph. The vertex is the lowest point on the graph.

Locate the coordinates of the vertex. From the graph, the vertex is at the point (-3, -2).

Since the parabola opens upwards, the vertex represents a minimum value of the function.

Conclude that the ordered pair of the vertex is (-3, -2) and it is a minimum.

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(a) Graph ƒ on the interval 𝓍 ≥ 0.

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Textbook Question

{Use of Tech} Sum of squared integers Let T (n) = 1² + 2² + ... + n², where n is a positive integer. It can be shown that T (n) = n (n + 1) (2n + 1) / 8

c. What is the least value of n for which T(n) > 1000?

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Textbook Question

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Multiple Choice

In the graph shown, identify the y–intercept & slope. Write the equation of this line in Slope-Intercept form.

Where is the axis of symmetry located on the given parabola?

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\left(x\right)=4x^3+\frac12x^{-1}-2x+1$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\left(x\right)=2+x$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\left(x\right)=3x^2+5x+2$

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