0. Functions

Common Functions

0. Functions

Common Functions

Struggling with Calculus?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

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

$x=3$

$x=0$

$x=1$

$x=4$

Verified step by step guidance

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

Observe the x-coordinate of the vertex. This x-coordinate is the axis of symmetry for the parabola.

In the given graph, the vertex appears to be at the point (3, 0).

The axis of symmetry is a vertical line that passes through the vertex, so it is represented by the equation x = 3.

Therefore, the axis of symmetry for the given parabola is located at x = 3.

5:57m

Watch next

Master Graphs of Common Functions with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

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?

158

views

Textbook Question

Tsunamis A tsunami is an ocean wave often caused by earthquakes on the ocean floor; these waves typically have long wavelengths, ranging from 150 to 1000 km. Imagine a tsunami traveling across the Pacific Ocean, which is the deepest ocean in the world, with an average depth of about 4000 m. Explain why the shallow-water velocity equation (Exercise 75) applies to tsunamis even though the actual depth of the water is large. What does the shallow-water equation say about the speed of a tsunami in the Pacific Ocean (use d = 4000 m)?

views

Multiple Choice

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

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

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. $f\left(x\right)=3x^2+5x+2$

Find the domain of the rational function. Then, write it in lowest terms.

$f\left(x\right)=\frac{x^2+9}{x-3}$

Common Functions practice set

Problem sets built by lead tutors

Expert video explanations

Go to Practice